SOLUTION: Please find the value of x. 2x^2=x+4

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Question 684399: Please find the value of x.
2x^2=x+4

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
2x%5E2=x%2B4
2x%5E2-x-4=0...use quadratic formula

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+...in your case a=2, b=-1 and c=-4

x+=+%28-%28-1%29+%2B-+sqrt%28+%28-1%29%5E2-4%2A2%2A%28-4%29+%29%29%2F%282%2A2%29+

x+=+%281+%2B-+sqrt%28+1%2B32%29%29%2F4+

x+=+%281+%2B-+sqrt%28+33%29%29%2F4+

x+=+%281+%2B-+5.75%29%2F4+
solutions:
x+=+%281+%2B5.75%29%2F4+

x+=+6.75%2F4+

x+=+1.6875+
or
x+=+%281+-5.75%29%2F4+

x+=+-4.75%2F4+

x+=+-1.1875+

+graph%28+600%2C+600%2C+-5%2C+5%2C+-5%2C+5%2C+2x%5E2-x-4%29+