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# Solve the quadratic equation $5x+2x^2-10=0$

## Step-by-step Solution

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###  Solution

$x=1.311738,\:x=-3.811738$
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##  Step-by-step Solution 

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Use the complete the square method to factor the trinomial of the form $ax^2+bx+c$. Take common factor $a$ ($2$) to all terms

$2\left(x^2+\frac{5}{2}x-5\right)=0$

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$2\left(x^2+\frac{5}{2}x-5\right)=0$

Learn how to solve problems step by step online. Solve the quadratic equation 5x+2x^2+-10=0. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (2) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+\frac{5}{2}xx+\frac{25}{16}. Subtract the values -5 and -\frac{25}{16}.

$x=1.311738,\:x=-3.811738$

##  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

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

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a
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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