SOLUTION: What is the solution of the equation 2xsquared + 8x -25=5?.Can anyone help me. I will really appreciate your help. Thanks.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: What is the solution of the equation 2xsquared + 8x -25=5?.Can anyone help me. I will really appreciate your help. Thanks.      Log On


   



Question 195300: What is the solution of the equation 2xsquared + 8x -25=5?.Can anyone help me. I will really appreciate your help. Thanks.
Found 2 solutions by josmiceli, dkala99:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
2x%5E2+%2B+8x+-25+=+5
I'll use the method called "completing the square"
First get all constant terms on the right side, then
divide both sides by 2
take 1/2 of the coefficient of the x term,
square it, then add it to both sides. The left side
will automatically become a perfect square.
2x%5E2+%2B+8x+=+30
x%5E2+%2B+4x+=+15
x%5E2+%2B+4x+%2B+%284%2F2%29%5E2+=+15+%2B+%284%2F2%29%5E2
x%5E2+%2B+4x+%2B+4+=+15+%2B+4
%28x+%2B+2%29%5E2+=+19
Take the square root of both sides
x+%2B+2+=+sqrt%2819%29
x+=+sqrt%2819%29+-+2
and
x+%2B+2+=+-sqrt%2819%29
x+=+-sqrt%2819%29+-+2
I'll check one solution:
2x%5E2+%2B+8x+-25+=+5
2%2A%28-sqrt%2819%29+-2%29%5E2+%2B+8%2A%28-sqrt%2819%29+-+2%29+-+25+=+5
2%2A%2819+%2B+4%2Asqrt%2819%29+%2B+4%29+-+8%2Asqrt%2819%29+-+16+-+25+=+5
38+%2B+8%2Asqrt%2819%29+%2B+8+-+8%2Asqrt%2819%29+-+16+-+25+=+5
46+-+41+=+5
5+=+5
OK

Answer by dkala99(12) About Me  (Show Source):
You can put this solution on YOUR website!
2x^2+8x-25=5
2x^2+8x-30=0 which is in the format of : ax^2+bx+c=0
formula:
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a=2;b=8;c=-30
x+=+%28-8+%2B-+sqrt%28+8%5E2-4%2A2%2A-30+%29%29%2F%282%2A2%29+
x+=+%28-8+%2B-+sqrt%28+64%2B240%29%29%2F%284%29+
x+=+%28-8+%2B-+sqrt%28+304%29%29%2F%284%29+
x+=+%28-8+%2B-+4+%28sqrt%28+19%29%29%29%2F%284%29+
x+=+4%28-2+%2B-+sqrt%28+19%29%29%2F%284%29+
x+=+%28-2+%2B-+sqrt%28+19%29%29+