# Solve the following quadratic equations 1/(x + 5) = 1/x^2

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Solve the following quadratic equations.

i. $\frac{1}{x + 5} = \frac{1}{x^2}$

1/(x + 5) = 1/x2

ii. x2 - $\frac{3x}{10} - \frac{1}{10}$ = 0

iii. (2x + 3)2 = 25

## 1 Answer

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Comparing the above equation with

$\therefore$ The roots of the given quadratic equation are

By using the property, if the product of two numbers is zero, then at least one of them is zero, we get

∴ The roots of the given quadratic equation are 1/2 and -1/5

By using the property, if the product of two numbers is zero, then at least one of them is zero, we get

∴ The roots of the given quadratic equation are 1 and -4.

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