Question

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

Answer 1

SOLUTION

TO DETERMINE

The roots of the quadratic equation

(9x-7) (2x+5) = 0

EVALUATION

Here the given Quadratic equation is

$\displaystyle \sf{ (9x - 7)(2x + 5) = 0}$

Now in order to find the roots of the quadratic equation we solve for x

$\displaystyle \sf{ (9x - 7)(2x + 5) = 0}$

We know that if product of two real numbers are zero then either of them are zero

Now

$\displaystyle \sf{ (9x - 7) = 0 \: \: gives}$

$\displaystyle \sf{ 9x = 7}$

$\displaystyle \sf{ \implies \: x = \frac{7}{9} }$

Again

$\displaystyle \sf{ (2x + 5) = 0 \: \: gives}$

$\displaystyle \sf{ 2x = - 5}$

$\displaystyle \sf{ \implies \: x = - \frac{5}{2} }$

Hence the required roots are

$\displaystyle \sf{ \frac{7}{9} \: \:, \: - \frac{5}{2} }$

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Answer 2

Step-by-step explanation:

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