Fraction Equations Reducible to Quadratic | Free Math Help

Fraction Equations Reducible to Quadratic | Free Math Help

iitutor provides full explains of Fraction Equations Reducible to Quadratic for Free Math Help.
\( \begin{aligned} \displaystyle \require{color}
x+\frac{a}{x} &= b \\
x^2 + a &= bx \\
x^2 – bx + a &= 0 \\
\end{aligned} \)
Once, the equation forms a quadratic form by multiply the denominator to both sides, then the equation can be solved by quadratic solution, such as factorise or quadratic formula.
Let’s look at the following examples.

Practice Questions

Question 1

Solve \( \displaystyle x+\frac{2}{x} = 3 \).

Question 2

Solve \( \displaystyle x^3 – \frac{8}{x^3} = 7 \).

Question 3

Solve \( \displaystyle 16x^2 + \frac{16}{x^2} = 257 \).

Question 4

Solve \( \displaystyle \sqrt{x} + \frac{1}{\sqrt{x}} = 2 \).

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Algebra Equations Reducible to Quadratic
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Surd Equations Reducible to Quadratic