Solve the equation (\sqrt{x^{2}-3x})=2x-6, inequality, or system of equations.

Daniaal Sanchez

Daniaal Sanchez

Answered question

2021-06-10

Solve the equation (x23x)=2x6, inequality, or system of equations.

Answer & Explanation

Roosevelt Houghton

Roosevelt Houghton

Skilled2021-06-11Added 106 answers

Step 1
To solve the equation: (x23x)=2x6
Solution:
(x23x)=2x6
on squaring both sides we get:
(x23x)2=(2x6)2
x23x=(2x)22(2x)(6)+62
x23x=4x224x+36
x24x23x+24x36=0
3x2+21x36=0
3x2+12x+9x36=0
3x(x4)+9(x4)=0
(x4)(3x+9)=0
(x4)=0,or(3x+9)=0
x=4,or3x=9.x=3
Step 2
Result:
Required solutions are, x={3,4}

Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-24Added 2605 answers

Answer is given below (on video)

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