Question

factorize 15c2-120c+64=0​

Answer 1

Answer:

$15\left(x-\left(-\frac{4\sqrt{165}}{15}+4\right)\right)\left(x-\left(\frac{4\sqrt{165}}{15}+4\right)\right)$

Step-by-step explanation:

15c² – 120c + 64 = 0

c² – 8c + (64/15)c = 0

Let r and s be the factors for the quadratic equation such that x²+Bx+C=(x−r)(x−s) where the sum of factors (r+s)=−B and the product of factors rs = C.

r + s = 8 rs = 64/15

$r =4 - \frac{\sqrt{176}}{\sqrt{15}} = 0.575 \\ s = 4 + \frac{\sqrt{176}}{\sqrt{15}} = 7.425$