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Solve the quadratic equation $x^2+6x-7=0$

Step-by-step Solution

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Final Answer

$x=1,\:x=-7$
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Step-by-step Solution

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1

Factor the trinomial $x^2+6x-7$ finding two numbers that multiply to form $-7$ and added form $6$

$\begin{matrix}\left(-1\right)\left(7\right)=-7\\ \left(-1\right)+\left(7\right)=6\end{matrix}$

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$\begin{matrix}\left(-1\right)\left(7\right)=-7\\ \left(-1\right)+\left(7\right)=6\end{matrix}$

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Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation x^2+6x+-7=0. Factor the trinomial x^2+6x-7 finding two numbers that multiply to form -7 and added form 6. Thus. Break the equation in 2 factors and set each equal to zero, to obtain. Solve the equation (1).

Final Answer

$x=1,\:x=-7$

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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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Function Plot

Plotting: $x^2+6x-7$

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6
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

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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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