Question

5{x}^{2} -7x-6=0 in quadratic equation ​

Answer 1

Step-by-step explanation:

5x² - 7x - 6 = 0

5x² - 10x + 3x -6 =0

5x (x -2) + 3(x-2) = 0

(5x+3) (x-2) = 0

Answer 2

Answer:

Given equation

$5 {x}^{2} - 7x - 6 = 0$

is a quadratic equation with variable x.

it can be expressed in quadratic factors by splitting the middle term method.

After expressing it in quadratic factors we can also find roots of the given equation.

Roots of given quadratic equation can be calculated as:-

$5 {x}^{2} - 7x - 6 = 0 \\ \\ {x}^{2} - 10x + 3x - 6 = 0 \\ \\ 5x(x - 2) + 3(x - 2) = 0 \\ \\ (x - 2)(5x + 3) = 0 \\ \\ \implies \: x = 2 \: \: \: \: \: or \: \: \: \: x = \frac{ - 3}{5}$