SOLUTION: Solve by using the quadratic formula: 4x^2-6x=9. Express roots in EXACT radical form if necessary.

Algebra.Com
Question 121030: Solve by using the quadratic formula: 4x^2-6x=9. Express roots in EXACT radical form if necessary.
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!
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

RELATED QUESTIONS

Find the roots of the quadratic equations using the quadratic formula. Express the... (answered by fractalier)
Solve by completing the square:4x^2+8x-7=0.Express roots in EXACT radical... (answered by Fombitz)
Solve by completing the sqaure. Express radical answers as exact roots in simplest... (answered by Fombitz)
can you please help me solve by using the quadratic formula and leave irrational roots in (answered by jim_thompson5910)
Find the roots of the quadratic equations using the quadratic formula. Express the... (answered by fractalier)
Solve by using the quadratic formula. Express your answer in simplified radical form.... (answered by checkley75)
Find the roots of the quadratic equations using the quadratic formula. Express the... (answered by fractalier)
Solve by using the quadratic formula. (18/w^2) - (10/w) + 1 = 0 If your answer... (answered by drj)
Use the quadratic formula to solve equation. Write irrational roots in the simplest... (answered by solver91311)