SOLUTION: how do I solve this with step by step solution? square root of (5x^2-9)=2x

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Question 2860: how do I solve this with step by step solution?
square root of (5x^2-9)=2x
Answer by xcentaur(357) About Me  (Show Source):
You can put this solution on YOUR website!
Your question will be written as,
+sqrt%285x%5E2-9%29+=+2x+


Then taking the square root to the other side we get,
+%285x%5E2-9%29+=+%282x%29%5E2+


+%285x%5E2-9%29+=+%284x%5E2%29+


Taking (4x^2) to the other side we get,
+%285x%5E2+-+4x%5E2+-+9%29+=+0+


Which then gives us,
+%28x%5E2+-9%29+=+0+


Taking 9 to the other side we get,
+%28x%5E2%29+=+9+


Taking square root on both sides we get,
+x+=+sqrt%289%29+


Therefore x={3,-3}


Hope this helped,
Best of luck.