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We are given the equation:
√(4x - 2) + 3 = 5
Subtracting by 3 on both sides
√(4x - 2) = 2
Squaring both sides
4x - 2 = 4
Adding 2 on both sides
4x = 6
x = 3/2
Step-by-step explanation:
Hey there!
Given;
[tex] \sqrt{4x - 2} + 3 = 5[/tex]
Shift "3" on right side.
[tex] \sqrt{4x - 2} = 5 - 3[/tex]
[tex] \sqrt{4x - 2} = 2[/tex]
Squaring on both sides.
[tex] {( \sqrt{4x - 2} )}^{2} = {2}^{2} [/tex]
Simplify it.
[tex]4x - 2 = 4[/tex]
[tex]4x = 4 + 2[/tex]
[tex]x = \frac{6}{4} [/tex]
[tex]x = \frac{3}{2} [/tex]
Therefore, X = 3/2.
Hope it helps...