Question

Factorise the following equation: x^2+2x-24​

Answer 1

Answer:

x=4 (or) x=-6

Step-by-step explanation:

Given that,

p(x)=x²+2x-24=0

⇒x²+2x-24=0

by splitting '2x' we get,

⇒x²+6x-4x-24=0.             (∵The factors of -24 to get their sum as 2 are 6 & -4)

⇒x(x+6)-4(x+6)=0

⇒(x-4)(x+6)=0

case-(1):                   |    Case-(2):

         ⇒x-4=0         |               ⇒x+6=0  

         ⇒x=4             |               ⇒x=-6

∴x=4 (or) x=-6

HOPE THIS WOULD BE HELPFUL FOR YOU

Answer 2

${\overbrace{\underbrace{\orange{Q}\green{U}\orange{E}\green{S}\orange{T}\green{I}\orange{O}\green{N}}}}$“

${x}^{2} + 2x - 24$

$\Huge{\bold{\mathrm{\underline{\red{ANSWER}}}}}$

${x}^{2} + 2x - 24 = 0$

${x}^{2} - 4x + 6x - 24 = 0$

$x(x - 4) + 6(x - 4) = 0$

$(x - 4)(x + 6) = 0$

$x = 4 \: \: and \: \: x = - 6 \: \: ans....$

please mark me brainlist ✔️✔️✔️✔️