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Solve the quadratic equation $x^2- \left(\frac{228}{25}\right)x+\frac{847}{100}=0$

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Solution

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Final Answer

$x=\frac{9.12+\sqrt{{\left(-9.12\right)}^2-33.88}}{2},\:x=\frac{9.12-\sqrt{{\left(-9.12\right)}^2-33.88}}{2}$
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Step-by-step Solution

Problem to solve:

$x^2- \left(\frac{228}{25}\right)x+\frac{847}{100}=0$

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1

Divide $-228$ by $25$

$x^2-\frac{228}{25}x+\frac{847}{100}=0$

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

$x^2-\frac{228}{25}x+\frac{847}{100}=0$

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Unlock the first 2 steps of this solution.

Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation x^2-228/25x847/100=0. Divide -228 by 25. Divide 847 by 100. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=1, b=-\frac{228}{25} and c=\frac{847}{100}. 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 (-).

Final Answer

$x=\frac{9.12+\sqrt{{\left(-9.12\right)}^2-33.88}}{2},\:x=\frac{9.12-\sqrt{{\left(-9.12\right)}^2-33.88}}{2}$

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

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0
a
b
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m
n
u
v
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x
y
z
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(◻)
+
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×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
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

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Main topic:

Quadratic equations

Used formulas:

1. See formulas

Time to solve it:

~ 0.06 s

Related topics:

Quadratic equationsEquationsQuadratic Formula

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