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Solve the quadratic equation $x^1+x^2=10$

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Solution

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Final Answer

$x=\frac{-1+\sqrt{41}}{2},\:x=\frac{-1-\sqrt{41}}{2}$
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Step-by-step Solution

Problem to solve:

$x^1+x^2=10$

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1

Any expression to the power of $1$ is equal to that same expression

$x+x^2=10$

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$x+x^2=10$

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Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation x^1+x^2=10. Any expression to the power of 1 is equal to that same expression. Rewrite the equation. 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=1 and c=-10. 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

$x=\frac{-1+\sqrt{41}}{2},\:x=\frac{-1-\sqrt{41}}{2}$

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
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

How to improve your answer:

Similar Problems Solved

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$x^2-8x-1008=0$

Main topic:

Quadratic equations

Used formulas:

1. See formulas

Related topics:

Quadratic equationsEquationsQuadratic Formula

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