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Questions
Solve the following quadratic equations by factorization:
abx2 + (b2 – ac)x – bc = 0
Using quadratic formula find the value of x.
abx2 + (b2 – ac)x – bc = 0
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Solution
We have been given
abx2 + (b2 – ac)x – bc = 0
abx2 + b2x – acx – bc = 0
bx(ax + b) – c(ax + b) = 0
(ax + b)(bx – c) = 0
Therefore,
ax + b = 0
ax = – b
`x = (-b)/a`
or
bx – c = 0
bx = c
`x = c/b`
Hence, `x=(-b)/a` or `x = c/b`.
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