Question

X square plus root 2x minus twenty four

Answer 1

$\orange{\bold{\underline{\underline{Step \:by\: step\:explanation:-}}}}$

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

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

${x}^{2} + (8 - 3)x - 24 = 0$

${x}^{2} + 8x - 3x - 24 = 0$

$x(x + 8) - 3(x + 8) = 0$

$(x + 8)(x - 3) = 0$

Either

$x + 8 = 0$

or, $x=-8$

or,

$or , x - 3 = 0$

$or , x = 3$

$\star\;\large\bold{\underline{\underline{\sf{\red{Thank uh}}}}}$

Answer 2

$\large{\underline{\overline{\mathtt{\purple{Step \: by \: step \: explanation:-}}}}}$

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

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

${x}^{2} + (8 - 3)x - 24 = 0$

${x}^{2} + 8x - 3x - 24 = 0$

$x(x + 8) - 3(x + 8) = 0$

Either,

$x + 8 = 0$

$x = - 8$

or,

$x - 3 = 0$

$x = 3$

$\underline\green{\:\textsf{Thank uh}}$