Question

Solve
(2x +3 )sqare = 36

please solve it guys fast​

Answer 1

Answer:

x=3/2

Step-by-step explanation:

(2x+3)^2=36

2x+3=underoot 36

2x+3=6

2x=6-3

2x=3

x=3/2

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Answer 2

QUESTION-:

Solve (2x+3)²=36

EXPLANATION-:

Given equation-:

→(2x+3)²=36

STEP-1 Take square toot both sides-:

$\rightarrow \bf\;(2x+3)^2=36\\\\\rightarrow \bf\; \sqrt{(2x+3)^2}=\sqrt{36} \\\\\rightarrow \bf\; 2x+3=\underline{+} 6$

STEP-2 Break down the above equation in 2 parts

→2x+3=6-----(i)

→2x+3=-6-------(ii)

STEP-3 Solve equation i and ii

Solve eq-i

→2x+3=6

→2x=6-3

→2x=3

→x=3/2

Now solve ii equation

→2x+3=-6

→2x=-9

→2x=-9/3

So the 2 value of x in the equation is -:

$\bf \red\bigstar \: \: \orange{ \underbrace{ \underline{ \bf\;\blue{ x=\frac{3}{2},\frac{-9}{2}}}}}$