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Solve the quadratic equation $7800x^2-\frac{2147483647}{50000}x+\frac{660719663}{10000}=0$

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 Solution

$x=\frac{42949.67294+\sqrt{{\left(42949.67294\right)}^2+2061445348.56}}{15600},\:x=\frac{42949.67294-\sqrt{{\left(42949.67294\right)}^2+2061445348.56}}{15600}$
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 Step-by-step Solution 

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Divide $-2147483647$ by $50000$

$7800x^2+42949.67294x+\frac{660719663}{10000}=0$

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$7800x^2+42949.67294x+\frac{660719663}{10000}=0$

Learn how to solve problems step by step online. Solve the quadratic equation 7800x^2+-2147483647/50000x660719663/10000=0. Divide -2147483647 by 50000. Divide 660719663 by 10000. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=7800, b=42949.67294 and c=66071.9663. 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.

$x=\frac{42949.67294+\sqrt{{\left(42949.67294\right)}^2+2061445348.56}}{15600},\:x=\frac{42949.67294-\sqrt{{\left(42949.67294\right)}^2+2061445348.56}}{15600}$

 Explore different ways to solve this problem

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

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1
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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