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Algebra ->  Equations -> SOLUTION: Solve the equation. Thanks <a href="http://photobucket.com" target="_blank"><img src="http://i83.photobucket.com/albums/j300/q43000gt/8q12g2.gif" border="0" alt="Photobucket -       Log On


   

Question 47875: Solve the equation. Thanks
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Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%283x+%2B+10%29+=+5+-+2x
3x+%2B+10+=+25+-+20x+%2B+4x%5E2
0+=+4x%5E2+-+23x+%2B+15
0+=+4x%5E2+-+3x+-+20x+%2B+15
0+=+%284x%5E2+-+3x%29+%2B+%28-20x+%2B+15%29
0+=+x%284x+-+3%29+-+5%284x+-+3%29
0+=+%28x+-+5%29%284x+-+3%29
x - 5 = 0
x = 5
and
4x - 3 = 0
4x = 3
x = 3/4
Check:
x = 5 will not work because the square root of a real number will not equal a positive value. Answer: x = 3/4
graph%28600%2C600%2C-10%2C10%2C-10%2C10%2Csqrt%283x+%2B+10%29%2C5+-+2x%29