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SOLUTION: Solve by using the quadratic formula: 4x^2-6x=9. Express roots in EXACT radical form if necessary.
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Question 121030
:
Solve by using the quadratic formula: 4x^2-6x=9. Express roots in EXACT radical form if necessary.
Answer by
solver91311(20879)
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To use the quadratic formula, the equation has to be in standard form, thus:
Your equation:
has to be re-arranged first.
Add -9 to both sides:
Now we have a = 4, b = -6, and c = -9 and we can put these values into the quadratic formula:
, and simplify
160 = 2 * 2 * 3 * 3 * 5, so
Therefore,
or