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Solve the following equations for x:
Given:-
Take
We know that, Formula
Thus,
⇒
⇒
⇒
⇒
⇒ 40 – 8x2 = 158x
⇒ 8x2 + 158x – 40 = 0
⇒ 4x2 + 79x – 20 = 0
⇒ 4x2 + 80x – x – 20 = 0
⇒ 4x(x + 20) – 1(x + 20) = 0
⇒ (4x – 1)(x + 20) = 0
⇒ 4x – 1 = 0 or x + 20 = 0
⇒
Since,
x > 0
So,
is the root of the given equation
Therefore,