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# Solve the quadratic equation $289y^2-714y+441=0$

## Step-by-step Solution

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$y=\frac{21}{17},\:y=\frac{21}{17}$
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##  Step-by-step Solution 

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To find the roots of a polynomial of the form $ax^2+bx+c$ we use the quadratic formula, where in this case $a=289$, $b=-714$ and $c=441$. Then substitute the values of the coefficients of the equation in the quadratic formula: $\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$y=\frac{714\pm \sqrt{{\left(-714\right)}^2-4\cdot 289\cdot 441}}{2\cdot 289}$

Learn how to solve trigonometric integrals problems step by step online.

$y=\frac{714\pm \sqrt{{\left(-714\right)}^2-4\cdot 289\cdot 441}}{2\cdot 289}$

Learn how to solve trigonometric integrals problems step by step online. Solve the quadratic equation 289y^2-714y+441=0. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=289, b=-714 and c=441. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}. Simplifying. To obtain the two solutions, divide the equation in two equations, one when \pm is positive (+), and another when \pm is negative (-). Add the values 714 and 0.

$y=\frac{21}{17},\:y=\frac{21}{17}$

##  Explore different ways to solve this problem

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Solve for yFind the rootsSolve by factoringSolve by completing the squareSolve by quadratic formula (general formula)Find break even pointsFind the discriminant

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7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

### Main Topic: Trigonometric Integrals

Integrals that contain trigonometric functions and their powers.