SOLUTION: Good Evening tutor, Could you tell me if I have these correct? Solve by completing the square: 1.) 4x^2 + 2x - 3 = 0 is (-1+-sqrt of 13 / 8) 2.) x^2 = 5x + 2 i

Question 105088: Good Evening tutor,
Could you tell me if I have these correct?
Solve by completing the square:
1.) 4x^2 + 2x - 3 = 0 is (-1+-sqrt of 13 / 8)
2.) x^2 = 5x + 2 is (5 +- sqrt of 29 / 2)
3.) 4x^2 + x - 3 = 0 is (1, -3/4)
I want to make sure I solved these correctly so any assistance is very much appreciated. Thank you in advance.

Answer by checkley75(3666) (Show Source): You can put this solution on YOUR website!
4X^2+2X-3=0
4X^2+2X=+3
4X^2+2X+1/4=3+1/4
(2X+1/2)(2X+1/2)=13/4
2X+1/2=SQRT13/4
2X=SQRT13/4-1/2
X=(SQRT13/4)/2-(1/2)/2
X=(1/2SQRT13)/2-1/4
X=1/4SQRT13-1/4
X=1/4(SQRT13-1) ANSWER. (.56 & -1.15)
TO VERIFY THIS ANSWER USE THE QUADRATIC EQUATION:

AND YOU'LL HAVE ANSWERS OF .56 & -1.15
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USING THIS SAME PROCEDURE AND PROOF, SOLVE THE REMAINING PROBLEMS.
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