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28 June, 08:52

Arrange the steps to solve the equation square root x+3 - square root 2x-1=-2

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  1. 28 June, 12:10
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    Answer:x=31.4919

    Step-by-step explanation:

    Step1:isolate a square root on the left hand side√x+3=√2x-1-2

    Step2:eliminate the radicals on the left hand side

    Raise both sides to the second power

    √x+3) ^2 = (√2x-1-2) ^2

    After squaring

    x+3=2x-1+4-4-4√2x-1

    Step3:get the remaining radicals by itself

    x+3=2x-1+4-4√2x-1

    Isolate radical on the left hand side

    4√2x-1=-x-3+2x-1+4

    4√2x-1=x

    Step4:eliminate the radicals on the left hand side

    Raise both side to the second power

    (4√2x-1) ^2=x^2

    After squaring

    32x-16=x^2

    Step 5:solve the quadratic equation

    x^2-32x-16

    This equation has two real roots

    x1=32+√960/2=31.4919

    x2=32-√960/2=0.5081

    Step6:check that the first solution is correct

    Put in 31.4919 for x

    √31.4919+3=√2•31.4919-1-2

    √34.492=5.873

    x=31.4919

    Step7:check that the second solution is correct

    √x+3=√2x-1-2

    Put in 0.5081 for x

    √0.5081+3=√2•0.5081-1-2

    √3.508=-1.873

    1.873#-1.873

    One solution was found

    x=31.4919
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