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Post New Question
All Questions
+0
234676 Questions
-1
20
0
+2651
quadratic
For what values of $j$ does the equation $(2x+7)(3x-15) = -43 + jx$ have exactly one real solution? Express your answer as a list of numbers, separated by commas.
LiIIiam0216
Mar 16, 2024
0
30
0
+2651
Algebra
Find $d$ such that the equation $(d-1)x^2-4dx+(d + 10) = 0$ only has one real solution.
LiIIiam0216
Mar 16, 2024
0
15
0
+2651
quadratic
Let $m$ be a real number. If the quadratic equation $2x^2+mx+8 = x^2-11x-17$ has two distinct real roots, then what are the possible values of $m$? Express your answer in interval notation.
LiIIiam0216
Mar 16, 2024
0
34
0
+2651
Algebra
Find the product of all positive integer values of $c$ such that the quadratic equation $x^2+5x+c=-8x$ has two real roots.
LiIIiam0216
Mar 16, 2024
0
21
0
+2651
need help
Find the largest real number $c$ such that $10$ is in the range of $f(x)=x^2-5x+12x+c$.
LiIIiam0216
Mar 16, 2024
0
15
0
+2651
help quadratic
The quadratic equation x^2+4mx+m = 2x - 7x + 11 has exactly one real root. Find the positive value of $m$.
LiIIiam0216
Mar 16, 2024
0
31
0
+2651
Algebra
Solve for x: (\sqrt{12x}+12)(\sqrt{8x}+4)=2(x+3)+x
LiIIiam0216
Mar 16, 2024
0
33
0
+2651
Equation
What is the greatest possible value of $x$ for the equation $$\left(\frac{4x-16}{3x-4}\right)^2=12?$$
LiIIiam0216
Mar 16, 2024
0
21
0
+2651
quadratic
If $n$ is a constant and if there exists a unique value of $m$ for which the quadratic equation $x^2 + 5mx + (7m-n+1) = 0$ has one real solution, then find $n$.
LiIIiam0216
Mar 16, 2024
0
19
0
+2651
Algebra
Find the product of the $y$-coordinates of all the distinct solutions $(x,y)$ for the two equations $y=x^2-8$ and $y^2=-15x+12$.
LiIIiam0216
Mar 16, 2024
0
19
0
+2651
Quadratic
Let $m$ be an integer. If the quadratic equation $x^2 + mx + 3m = 120$ has one or more integer roots, then find the sum of all possible values of $m$.
LiIIiam0216
Mar 16, 2024
0
21
0
+2651
help algebra
The real numbers x and y satisfy the equation $x^2+y^2=14x+48-10x+2y$. What is the minimum value of $y$?
LiIIiam0216
Mar 16, 2024
0
15
2
+355
One solution of is twice the other solution. Find k.
One solution of is twice the other solution. Find k.
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Lilliam0216
Mar 16, 2024
0
19
2
+355
What is the sum of the squares of the roots of ?
What is the sum of the squares of the roots of ?
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●
Lilliam0216
Mar 16, 2024
0
15
0
+355
Surface area help
The surface area of a box is 160 square inches. The length of the box is twice its width, and is 4 inches less than its height. What is the height of the box, in inches?
Lilliam0216
Mar 16, 2024
0
12
1
+1475
Algebra
Let a and b be the roots of the quadratic $x^2 - 5x + 3 = 4x^2 - 8x + 23$ Find the quadratic whose roots are a^4 and b^4.
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parmen
Mar 16, 2024
0
15
1
+1475
help algebra
Let a and b be the solutions to 5x^2 - 11x + 4 = 2x^2 - 7x + 9 + 7x^2 - 14x - 11. Find 1/a + 1/b.
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parmen
Mar 16, 2024
0
16
1
+467
Expand
Expand (a + 2)(3a^2 - 2a - 12)(a^2 - 2a + 1).
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ChiIIBill
Mar 16, 2024
0
23
1
+467
Roots
Fill in the blanks to make a quadratic whose roots are $5$ and $-5.$
x^2 + ___ x + ___
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ChiIIBill
Mar 16, 2024
0
22
1
+467
Algebra
Find the largest value of $x$ such that $3x^2 + 17x + 15 = 2x^2 + 21x + 12 - 5x^2 + 17x + 34.$
●
ChiIIBill
Mar 16, 2024
0
19
1
+467
Integers
Find the number of ordered pairs $(a,b)$ of integers such that
\frac{a + 2}{a + 1} = \frac{b}{8}.
●
ChiIIBill
Mar 16, 2024
-1
28
0
+2651
Triangles
As shown in the diagram $\angle BAC=90^\circ$. Let $X$ be the foot of the altitude from $A$ to $\overline {BC}$, $\overline{AY}$ be the bisector of $\angle BAC$, and $\overline{AZ}$ be the median of $\triangle ABC$. If $\angle BAY = 16^\circ$, then
read more ..
LiIIiam0216
Mar 16, 2024
-1
25
0
+2651
Quadrilateral
In quadrilateral $PQRS$, $PQ = QR = RS = SP$, $PR = \sqrt{2}$, and $QS = \sqrt{2}$. Find the perimeter of $PQRS$.
LiIIiam0216
Mar 16, 2024
-1
13
1
+2651
Rectangle
The perimeter of a rectangle is $40,$ and the length of one of its diagonals is $10 \sqrt{2}.$ Find the area of the rectangle.
jilin73
●
LiIIiam0216
Mar 16, 2024
-1
23
1
+2651
Rectangle
Rectangle $ABCD$ contains a point $X$ such that $AX = 3$, $BX = 3$, and $CX = 3$. Find $DX$.
●
LiIIiam0216
Mar 16, 2024
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