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# Solve the quadratic equation $3x^2+5x=9$

## Step-by-step Solution

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###  Videos

$x=1.08876,\:x=-2.755427$
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##  Step-by-step Solution 

Problem to solve:

$3x^2+5x=9$

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Rewrite the equation

$3x^2+5x-9=0$

Learn how to solve quadratic equations problems step by step online.

$3x^2+5x-9=0$

Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 3x^2+5x=9. Rewrite the equation. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=3, b=5 and c=-9. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}. Simplify \frac{-5\pm \sqrt{5^2-4\cdot 3\cdot -9}}{2\cdot 3}. To obtain the two solutions, divide the equation in two equations, one when \pm is positive (+), and another when \pm is negative (-).

$x=1.08876,\:x=-2.755427$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Solve for xFind the rootsSolve by factoringSolve by completing the squareSolve by quadratic formulaFind break even points

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e
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ln
log
log
lim
d/dx
Dx
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sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

~ 0.05 s

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