The square of (5 $x$ + 1) is equal to 16. What is $x$ ?

x= -1,4/5

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x = 1,3/2

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x = -1,3/5

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x= 5, 1/4

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Solution

The correct option is C
x = -1,3/5

Converting statement into an equation-

$\Rightarrow$ $(5 x + 1)^{2}$ =16 (Applying ${(a + b)}^{2}$ formula)

$\Rightarrow$ 5 $x$ + 1 = $\pm$ 4(Taking square root on both sides)

$\Rightarrow$ 5 $x$ = -5,3

$\Rightarrow$ $x = - 1, \frac{3}{5}$

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