Solve using the method of factorization: 32-x^{2}=4x

piarepm

piarepm

Answered question

2021-12-10

Solve using the method of factorization:
32x2=4x

Answer & Explanation

nghodlokl

nghodlokl

Beginner2021-12-11Added 33 answers

Consider 32x2=4x
x2+4x32=0
We now find 2 numbers, say p and q such that
pq=-32 and p+q=4
And the equation becomes:
x2+px+qx32=0
We take p=8, q=-4
Thus
x2+8x4x32=0
x(x+8)4(x+8)=0
(x4)(x+8)=0
By method of factorization we have
Either (x-4)=0 or (x+8)=0
x=4,x=8
Hence the solutions are
x=4, -8

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