Question

(×+2)*(x+3)=22650 find x
$(x + 2) \times( x + 3) = 22650$
​

Answer 1

Answer:

The roots of the given equation are x = - 153 & x = 148.

Step-by-step-explanation:

The given equation is ( x + 2 ) ( x + 3 ) = 22650.

We have to find the value of x.

Now,

( x + 2 ) ( x + 3 ) = 22650

⇒ x ( x + 3 ) + 2 ( x + 3 ) = 22650

⇒ x² + 3x + 2x + 6 = 22650

⇒ x² + 5x + 6 = 22650

⇒ x² + 5x + 6 - 22560 = 0

⇒ x² + 5x - 22644 = 0

⇒ x² + 153x - 148x - 22644 = 0

⇒ x ( x + 153 ) - 148 ( x + 153 ) = 0

⇒ ( x + 153 ) ( x - 148 ) = 0

⇒ ( x + 153 ) = 0 OR ( x - 148 ) = 0

⇒ x + 153 = 0 OR x - 148 = 0

⇒ x = - 153 OR x = 148

∴ The roots of the given equation are x = - 153 & x = 148.

Answer 2

${ \large{ \red{ \bf{➾ \: \: (x + 2) \times (x + 3) = 22650}}}}$

${ \large{ \blue{\bf{➾ \: \: x {}^{2} + 3x + 2x + 6 = 22650}}}}$

${ \large{ \pink{\bf{➾ \: \: x {}^{2} + 5x + 6 - 22650 = 0}}}}$

${ \large{ \bf{ \orange{➾ \: \: x {}^{2} + 5x - 22644 = 0}}}}$

${ \large{ \bf{ \purple{➾ \: \: x {}^{2} + 153x - 148x - 22644 = 0}}}}$

${ \large{ \bf{ \green{➾ \: \: x(x + 153) - 148(x + 153) = 0}}}}$

${ \large{ \bf{ \blue{➾ \: \: (x + 153)(x - 148) = 0}}}}$

${ \large{ \red{\therefore{ \rm{x ={ \underline{ \boxed{ { \rm{148 \: \: or \: - 158}}}} \: \: Ans.}}}}}}$