Question

simplify by splitting the middle term: 24+5x-x²( I want correct answers only)​

Answer 1

Answer:

24+5x-x² = 0

x² - 5x - 24 = 0

x² - 8x + 3x -24 = 0

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

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

(x + 3 ) = 0  ; (x - 8) = 0

x = -3      ; x = 8

Answer 2

Answer:

x = +3 or x = -8

Step-by-step explanation:

$24+5x-x^{2} \\-x^{2}+5x+24$

Sum= +5

Product= -24

We have our two factors as -3 and 8,

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

∴x = 3 or x = -8