Question

FACTORIZE-----

2x^2+13x-24 ​

Answer 1

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2x^2+13x-24=0

2x^2+16x-3x-24=0

2x(x+8)-3(x+8)=0

(x+8)(2x-3)=0

x+8=0

x=-8

or

2x-3=0

x=3/2

Answer 2

Answer:

➡️2x^2+13x-24

Here, a=2,b=13,c=-24

$x = - b + - \sqrt{b {}^{2} - 4ac } \div 2a \\ x = - 13 + - \sqrt{169 - 4(2)( - 24)} \div 2(2) \\ x = - 13 + - \sqrt{169 + 192} \div 4 \\ x = - 13 + - \sqrt{361} \div 4 \\ x = - 13 + - 19 \div 4 \\ x = - 13 + 19 \div 4(or)x = - 13 - 19 \div 4 \\ x = 6 \div 4(or) x = - 32 \div 4 \\ x = 3 \div 2(or)x = - 8$

(or)

➡️2x^2+13x-24

➡2x^2+16x-3x-24

️➡️2x(x+8)-3(x+8)

➡(2x-3)(x+8)

️➡️X=2/3 (or) x=-8