SOLUTION: Solve by completing the square.
(When I do this, I get a LOT of fractions. I feel like I'm missing something big in this problem.)
8x^2+10x=3
Algebra.Com
Question 1127312: Solve by completing the square.
(When I do this, I get a LOT of fractions. I feel like I'm missing something big in this problem.)
8x^2+10x=3
Found 3 solutions by josgarithmetic, MathLover1, greenestamps:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
or just start from original equation,
,
OR
.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
coefficients: ,
find
->->
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
You are likely to get fractions when completing the square, except in "nice" problems....
Factor out the leading coefficient:
Take half the coefficient of the x term (5/8), square it (25/64), and add 25/64 in the parentheses on the left, to complete the square. Note that you added 8*25/64 = 25/8 on the left side of the equation, so you need to add 25/8 on the right to keep the equation balanced.
(Note that the only time you will NOT get fractions in the process of completing the square is when half the coefficient of x is an integer.)
Write the expression in parentheses as the square of a binomial, and simplify the expression on the right:
Divide by 8 to get the squared binomial by itself:
Take the square root of both sides, getting both positive and negative roots on the right:
OR
Solve the two equations to find the two roots of the original equation:
OR
The two roots of the equation are 1/4 and -3/2.
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