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Solve the quadratic equation $2x^2+4x-3=8$

Step-by-step Solution

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Solution

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Final answer to the problem

$x=\frac{-4+\sqrt{104}}{4},\:x=\frac{-4-\sqrt{104}}{4}$
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Step-by-step Solution

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  • 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 formula problems step by step online.

$2x^2+4x=8+3$

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Learn how to solve quadratic formula problems step by step online. Solve the quadratic equation 2x^2+4x+-3=8. 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. Add the values 8 and 3. 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=2, b=4 and c=-11. 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

$x=\frac{-4+\sqrt{104}}{4},\:x=\frac{-4-\sqrt{104}}{4}$

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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: $2x^2+4x-3-8$

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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 Formula

In elementary algebra, the quadratic formula is the solution of the quadratic equation. There are other ways to solve the quadratic equation instead of using the quadratic formula, such as factoring, completing the square, or graphing. Using the quadratic formula is often the most convenient way.

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