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Solve the quadratic equation $-x^2+6x+8=0$

Step-by-step Solution

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Solution

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Final Answer

$x=\frac{6+\sqrt{68}}{2},\:x=\frac{6-\sqrt{68}}{2}$
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Step-by-step Solution

Problem to solve:

$-x^2+6x+8=0$

Specify the solving method

1

For a simpler handling of the equation, change the sign of all terms, multiplying the entire whole by $-1$

$-\left(-1\right)x^2-6x-8=0$

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

$-\left(-1\right)x^2-6x-8=0$

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Unlock the first 2 steps of this solution.

Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation -x^2+6x+8=0. For a simpler handling of the equation, change the sign of all terms, multiplying the entire whole by -1. Multiply -1 times -1. 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=-6 and c=-8. 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

$x=\frac{6+\sqrt{68}}{2},\:x=\frac{6-\sqrt{68}}{2}$

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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 factoringSolve by completing the squareSolve by quadratic formulaFind break even points

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◻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:

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Main topic:

Quadratic equations

Used formulas:

1. See formulas

Time to solve it:

~ 0.06 s

Related topics:

Quadratic equationsEquationsQuadratic Formula

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