Question

${4x }^{2} = {15}^{2} - {9}^{2}$
find the value of x ?​

Answer 1

heyy....

here is your answer

4x²=15²-9²

=4x²=225-81

=4x²=144

=x²=144/4

=x²=36

x=6

hope IT HELPs u ....

^_^

Answer 2

The value of x is equal to 6.

Step-by-step explanation:

We have,

$4x^{2} =15^{2}-9^{2}$

To find, the value of x = ?

∴ $4x^{2} =15^{2}-9^{2}$

⇒ $4x^{2}$ = (15 + 9)(15 - 9)

Using the algebraic identity,

$a^{2} -b^{2}=(a+b)(a-b)$

⇒ $4x^{2}$ = (24)(6)

⇒ $x^{2}$ = $\dfrac{24 \times 6}{4}$

⇒ $x^{2}$ = 6 × 6 = 36

⇒ $x^{2}$ = $6^{2}$

∴ x = 6

Thus, the value of x = 6