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# Solve the quadratic equation $2125x^2-84x-12495=0$

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##  Final answer to the problem

$x=\frac{84+\sqrt{106214556}}{4250},\:x=\frac{84-\sqrt{106214556}}{4250}$
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##  Step-by-step Solution 

How should I solve this problem?

• Solve for x
• Find the derivative using the definition
• Solve by quadratic formula (general formula)
• Simplify
• Find the integral
• Find the derivative
• Factor
• Factor by completing the square
• Find the roots
Can't find a method? Tell us so we can add it.
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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 $a=2125$, $b=-84$ and $c=-12495$. Then substitute the values of the coefficients of the equation in the quadratic formula: $\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{84\pm \sqrt{{\left(-84\right)}^2-4\cdot 2125\cdot -12495}}{2\cdot 2125}$

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

$x=\frac{84\pm \sqrt{{\left(-84\right)}^2-4\cdot 2125\cdot -12495}}{2\cdot 2125}$

Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 2125x^2-84x+-12495=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=2125, b=-84 and c=-12495. 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 (-). Combining all solutions, the 2 solutions of the equation are.

##  Final answer to the problem

$x=\frac{84+\sqrt{106214556}}{4250},\:x=\frac{84-\sqrt{106214556}}{4250}$

##  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

SnapXam A2

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a
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x
y
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(◻)
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◻/◻
/
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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: Quadratic Equations

The quadratic equations (or second degree equations) are those equations where the greatest exponent to which the unknown is raised is the exponent 2.