Solve the following equations for x:

Given:- ![]()
Take
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We know that, Formula
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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,
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