Find the largest integer k such that the equation 5x^2 - kx + 88 = 0 has no real solutions.
+65 Equation
5x^2 - kx + 88 = 0
Discriminant
b^2 - 4ac
(-k)^2 - 4(5)(88)
Solving
So, we're looking for the greatest k value where (-k)^2 - 4(5)(88) is negative and an integer.
(-k)^2 - 4(5)(88)
k^2 - 1760 < 0
k^2 < 1760
k < sqrt(1760)
The largest integer that fufils this is 41.
Answer
Thus, our answer is 41.
I hope this helped. :))))
-𝕴𝗍z_¥ᥲ_𝕭Ø¥_Ð@®k 𝕻®ØÐ𝕴𝕲¥
😎😎😎
+65 Equation
5x^2 - kx + 88 = 0
Discriminant
b^2 - 4ac
(-k)^2 - 4(5)(88)
Solving
So, we're looking for the greatest k value where (-k)^2 - 4(5)(88) is negative and an integer.
(-k)^2 - 4(5)(88)
k^2 - 1760 < 0
k^2 < 1760
k < sqrt(1760)
The largest integer that fufils this is 41.
Answer
Thus, our answer is 41.
I hope this helped. :))))
-𝕴𝗍z_¥ᥲ_𝕭Ø¥_Ð@®k 𝕻®ØÐ𝕴𝕲¥
😎😎😎
