Question

Solution of the following equation is?  sqrt(4x) + 3 = 7​

Answer 1

$\huge \blue{ \boxed{ \fcolorbox{red}{pink}{ \bf \color{brown}{x} \blue= \color{yellow}{4}}}}$

Step-by-step explanation:

QUESTION :-

Solution of the following equation is?

$\bf \sqrt{4x} + 3 = 7$

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SOLUTION :-

$\bf \sqrt{4x} + 3 = 7 \\ \\ \bf = > \sqrt{4x} = 7 - 3 \\ \\ \bf = > \sqrt{4x} = 4$

By squaring both sides,

$\bf = > { ( \sqrt{4x} ) }^{2}= {4}^{2} \\ \\ \bf = > 4x = 16 \\ \\ \bf = > x = \cancel { \frac{16}{4} }^{ \: 4} \\ \\ = > \large \blue { \underbrace{ \green{\underline{\red{ \boxed { \bf \purple{x} \orange{ = } \color{cyan}{4}}}}}}}$

Hence,

The solution is 4 .

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TO VERIFY :-

x = 4

$\bf \sqrt{4x} + 3 = 7 \\ \\ \bf = > \sqrt{4(4)} + 3 = 7 \\ \\ \bf = > \sqrt{ {4}^{2} } + 3 = 7 \\ \\ \bf = > 4 + 3 = 7 \\ \\ \bf = > 7 = 7 \\ \\ \bf \color{black}{hence \: proved}$

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Hope it helps.

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