Solve the Quadratic equation by factorization x^{2}-5x-24=0

Carla Murphy 2021-12-19 Answered
Solve the Quadratic equation by factorization
x25x24=0
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lovagwb
Answered 2021-12-20 Author has 50 answers
Step 1
given that, x25x24=0
we have to solve the quadratic equation by factorization
Step 2
here, we using the splitting method to factorize the quadratic equation
in order to factorize, x25x24=0, we find two numbers p and q such that
p-q=5 and p×q=24.
clearly, 8-3=5, 8×3=24
now we split the middle term
x25x24=0
x2(83)x24=0
x28x+3x24=0
x(x8)+3(x8)=0
(x8)(x+3)=0
x8=0,x+3=0
x=8,x=3

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Timothy Wolff
Answered 2021-12-21 Author has 26 answers
Step 1 Given
x25x24=0
Step 2 Solving
x28x+3x24
x(x-8)+3(x-8)
(x-8)(x+3)=0
x-8=0, x+3=0
x=8; x=-3
x=8,3

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