Question

directed
(5x²-25x+20) = (x-1)​

Answer 1

writtenby me .

${5x}^{2} - 25x + 20 \\ a = 5 \: \: \: b = - 25 \: \: \: c = 20 \\ \sqrt{d} = {b}^{2} - 4ac \\ \sqrt{d} = { - 25}^{2} - 4 \times 5 \times 20 \\ \sqrt{d \:} = 625 - 400 \\ \sqrt{d } \: = 225 \\ d = 15$

$x= \frac{ - b - d}{2 \times a} \: \: x= \frac{ - b + d}{2 \times a}$

$x = \frac{ - b - d}{2 \times a} \\ x = \frac{ - ( - 25) - 15}{2 \times 5} \\ x = \frac{ + 25 - 15}{2 \times 5} \\ x = \frac{10}{10} \\ x = 1 \\ x - 1$

$x = \frac{ - b + d}{2 \times a} \\ x = \frac{ - ( - 25) + 15}{2 \times a } \\ x = \frac{25 + 15}{2 \times 5} \\ x = \frac{40}{10} \\ x = 4 \\ x - 4$

final answer is (x-1) (x-4)