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Solve the quadratic equation $8x^2+4x-7=x^2$

Step-by-step Solution

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Solution

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Final answer to the problem

$x=\frac{-4+\sqrt{212}}{14},\:x=\frac{-4-\sqrt{212}}{14}$
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Step-by-step Solution

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  • Choose an option
  • Solve for x
  • Find the derivative using the definition
  • Solve by quadratic formula (general formula)
  • Simplify
  • Find the integral
  • Find the derivative
  • Factor
  • Factor by completing the square
  • Find the roots
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Group the terms of the equation by moving the terms that have the variable $x$ to the left side, and those that do not have it to the right side

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

$8x^2+4x-x^2=7$

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Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 8x^2+4x+-7=x^2. Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side. Combining like terms 8x^2 and -x^2. 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=7, b=4 and c=-7. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}.

Final answer to the problem

$x=\frac{-4+\sqrt{212}}{14},\:x=\frac{-4-\sqrt{212}}{14}$

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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

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Function Plot

Plotting: $8x^2+4x-7-x^2$

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(◻)
+
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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

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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.

Used Formulas

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