Question

The roots of the quadratic equation is (9x-7) (2x+5) = 0 are​

Answer 1

The roots of the quadratic equation(9x-7) (2x+5) = 0 are : x =
`(7)/(9)` and x = -
`(5)/(2)`

Explanation:

The roots of a quadratic equation are essentially the values of x that satisfy the equation. So we need to solve for x.

We have (9x-7) (2x+5) = 0. Note that (9x-7) and (2x+5) multiply to zero, and also note that the only way to get zero through multiplication is to have one of the factors be zero.

So that means either (9x-7) = 0 , or (2x+5) = 0

Take (9x-7) = 0 and solve for x:

9x-7 = 0

9x=7

x=
`(7)/(9)`

Now take (2x+5) = 0 and solve for x:

2x+5 = 0

2x = -5

x = -
`(5)/(2)`

Answer 2

9x-7=0⇔9x=7⇔x=7/9

2x+5=0⇔2x=-5⇔x=-5/2

→the roots of the quadratic equation is (9x-7) (2x+5) = 0 are​ x=7/9 and x=-5/2

Explanation: