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What are the solutions to the equation of 8x squared -26x plus 15 equals 0 solved by completing the square?
Wiki User
∙ 7y ago
Equation: 8x^2 -26x +15 =0 I
Divide all terms by 8: x^2 -26/8 +15/8 = 0 and complete the square as follows:-
(x -13/8)^2 -169/64 +15/8 = 0 => (x-13/8)^2 = 49/64
Square root both sides: x-13/8 = -/+ 7/8
Add 13/8 to both sides: x = 13/8 -/+ 7/8
Therefore solutions are: x = 5/2 or x = 3/4
Wiki User
∙ 7y ago
Wiki User
∙ 7y ago8x^2 - 26x + 15 = 0Divide through by 8: x^2 - 13/4x + 15/8 = 0
13/4 divided by 2 is 13/8 so (x - 13/8)^2 - (13/8)^2 + 15/8 = 0
=> (x - 13/8)^2 = (13/8)^2 - 15/8 = 169/64 - 120/64 = 49/64
taking square roots, x - 13/
therefore x = 13/8 +/- 7/8
=> x = 20/8 or x = 6/8
=> x = 5/2 or x = 3/4.
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