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# Solve the quadratic equation $x^2-3x+5=8$

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##  Final Answer

$x=3.791288,\:x=-0.791288$
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##  Step-by-step Solution 

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Grouping all terms to the left side of the equation

$x^2-3x+5-8=0$

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

$x^2-3x+5-8=0$

Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation x^2-3x+5=8. Grouping all terms to the left side of the equation. Subtract the values 5 and -8. 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=-3 and c=-3. 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.

##  Final Answer

$x=3.791288,\:x=-0.791288$

##  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 factoringSolve by completing the squareSolve by quadratic formulaFind break even pointsFind the discriminant

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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

### 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.

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