Solve using zeros
y = x2 -7x+7
y = -2x2 -9x+10
Solve using square roots
2x2 +6 = 14
(x-1)2 +3 = 12
Solve by completing the square
x2 +6x = 7
x2 -4x = 10
Write in vertex form by completing the square
y = x2 +2x+1
y = -x2 -8x-15
Solve using any method. Round to the nearest hundredth.
y = x2 -3x+4
y = x+9
y = 2x2 -4x+7
y=9
y=x2
y=1
y = x2 -1
y = 1/2x-3
I don't know any methods other than quad. eq. and sq. roots.
Solve using square roots
2x2 +6 = 14
2x2=8
x2=4
x = \(\pm2\)
(x-1)2 +3 = 12
(x-1)2 = 9
x-1 = \(\pm3\)
either x = 4 or x= -2
Solve using any method
y = x2-3x+4
y = x+9
x2 - 3x + 4 = x + 9
x2-4x-5 = 0
(x-5)(x+1) = 0
either x = 5 or x = -1
y = 2x2-4x+7
y=9
2x2-4x+7 = 9
2x2-4x-2 = 0
x2-2x-1 = 0
\(x = {-(-2) \pm \sqrt{(-2)^2-4(1)(-1)} \over 2(1)}\)= \(1\pm\sqrt2\)
either x = 1+√2 or x=1-√2
y=x2
y=1
x2=1
x=\(\pm1\)
either x=1 or x = -1
\(y = x^2-1\)
\(y=\frac{1}{2x}-3\)
\(x^2-1=\frac{1}{2x}-3\)
\(x^3-x=\frac{1}{2}-3x\)
\(x^3+2x-\frac{1}{2}=0\)
x= 0.24283973258548086 or x= -0.12141986629274043 + 1.4297651386824481i or
x= -0.12141986629274043 - 1.4297651386824481i