Question

Find the value of x if 8x = 35² - 27²​

Answer 1

${\large{\sf{\bigstar{ \underline{ \underline {\: Given:}}}}}}$

• 8x = 35² - 27²

${\large{\sf{\bigstar{ { \underline{ \underline{\: To \: find :}}}}}}}$

• Value of x

${ \red{\large{\sf{\bigstar{ { \underline{ \underline{\: Solution:}}}}}}}}$

${\sf{ \implies{8x = 35^{2} - {27}^{2} }}}$

${ \tiny {\sf{ \implies{Formula: }}}} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \tiny {\sf{ \implies{ {(a)}^{2} - {(b)}^{2} = (a + b)(a - b)}}}}$

${\sf{ \implies{8x = (35 + 27)(35 - 27)}}}$

${\sf{ \implies{8x = (62)(8)}}}$

${\sf{ \implies{8x = 496}}}$

${\sf{ \implies{x = \frac{496}8}}}$

${ \large{ \color{green} {\sf{ \implies{ \underline{ \underline{x = 62}}}}}}}$

Alternate Method:-

》8x = 35² - 27²

》8x = 1225 - 729

》8x = 496

》x = 496/8

》 x = 62

Answer 2

✓ Correct Question:-

Find the value of x if 8x = 35² - 27²

• Given:-

8x = 35² - 27²

• To Find:-

Value of x = ?

• Solution:-

✓ By using this formula:-

(a)² - (b)²= (a + b) (a - b)

⟹ 8x = (35 + 27)(35 - 27)

⟹ 8x = (62 × 8)

⟹ 8x = 496

⟹ x = 496/8

⟹ x = 62

✓ By using alternate method:-

⟹ 8x = (35)² - (27)²

⟹ 8x = 1225 - 729

⟹ 8x = 496

⟹ x = 496/8

⟹ x = 62

So, [Value of x = 62]