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# Solve the quadratic equation $x^2\frac{35}{2}+x\frac{814986}{625}-\frac{26041212}{625}=0$

## Step-by-step Solution

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$x=24.135335,\:x=-98.648341$
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## Step-by-step Solution

Problem to solve:

$\frac{35}{2} x^2+\frac{814986}{625}\cdot x-\frac{26041212}{625}=0$

Specify the solving method

1

To find the roots of a polynomial of the form $ax^2+bx+c$ we use the quadratic formula, where in this case $a=\frac{35}{2}$, $b=1303.9776$ and $c=41665.9392$. Then substitute the values of the coefficients of the equation in the quadratic formula: $\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{1303.9776+\pm 2148.714342}{35}$

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$x=\frac{1303.9776+\pm 2148.714342}{35}$

Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 35/2x^2+814986/625x-26041212/625=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=\frac{35}{2}, b=1303.9776 and c=41665.9392. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}. To obtain the two solutions, divide the equation in two equations, one when \pm is positive (+), and another when \pm is negative (-). Subtract the values 2148.714342 and 1303.9776. Subtract the values 1303.9776 and 2148.714342.

$x=24.135335,\:x=-98.648341$
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### beta Got another answer? Verify it!

Go!
1
2
3
4
5
6
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

$\frac{35}{2} x^2+\frac{814986}{625}\cdot x-\frac{26041212}{625}=0$