Question

The roots of the quadratic equation ( 9x - 7 ) ( 2x + 5 ) = 0 are (a) -7/9 ,-5/2 (b) 9/7,9/7 (c) -5/2,9/7 (d) 7/9,-5/2​

Answer 1

Answer:

answer is option D.

Step-by-step explanation:

9x-7=0

x=7/9

2x+5=0

x=_5/2

Answer 2

Answer:

The roots of the given quadratic equation are

$\displaystyle{{\boxed{\red{\sf\:x\:=\:\dfrac{7}{9}}}}\sf\:\quad\:OR\:\quad\:{\boxed{\red{\sf\:x\:=\:-\:\dfrac{5}{2}}}}}$

Option d)

Step-by-step-explanation:

The given quadratic equation is ( 9x - 7 ) ( 2x + 5 ) = 0.

We have to find the roots of the quadratic equation.

Now,

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

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

⇒ 9x - 7 = 0 $\displaystyle{\sf\:\quad\:OR\:\quad}$ 2x + 5 = 0

⇒ 9x = 7 $\displaystyle{\sf\:\quad\:OR\:\quad}$ 2x = - 5

$\displaystyle{\therefore\:\underline{\boxed{\red{\sf\:x\:=\:\dfrac{7}{9}}}}\sf\:\quad\:OR\:\quad\:\underline{\boxed{\red{\sf\:x\:=\:-\:\dfrac{5}{2}}}}}$