Solve the equation. 2\sqrt{x}-\sqrt{x-3}=\sqrt{5+x}

Annette Arroyo

Annette Arroyo

Answered question

2021-09-26

Solve the equation.
2xx3=5+x

Answer & Explanation

Pohanginah

Pohanginah

Skilled2021-09-27Added 96 answers

Step 1
To Solve the equation
2xx3=5+x
squaring on the both sides
(2xx3)2=(5+x)2
4x+x32×2x×x3=5+x
5x34x(x3)=5+x
5xx35=4x(x3)
4x8=4x(x3)
x4=x(x3)
Step 2
squaring on both sides
(x4)2=(x(x3))2
x2+168x=x(x3)
x2+168x=x23x
16=8x-3x
16=5x
5x=16
x=165

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