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Solve the quadratic equation $3x^2+7x-15=0$

Step-by-step Solution

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Final answer to the problem

$x=1.3554577,\:x=-3.688791$
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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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To find the roots of a polynomial of the form $ax^2+bx+c$ we use the quadratic formula, where in this case $a=3$, $b=7$ and $c=-15$. Then substitute the values of the coefficients of the equation in the quadratic formula: $\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-7\pm \sqrt{7^2-4\cdot 3\cdot -15}}{2\cdot 3}$

Learn how to solve integral calculus problems step by step online.

$x=\frac{-7\pm \sqrt{7^2-4\cdot 3\cdot -15}}{2\cdot 3}$

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Learn how to solve integral calculus problems step by step online. Solve the quadratic equation 3x^2+7x+-15=0. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=3, b=7 and c=-15. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}. Simplifying. To obtain the two solutions, divide the equation in two equations, one when \pm is positive (+), and another when \pm is negative (-). Subtract the values 15.132746 and -7.

Final answer to the problem

$x=1.3554577,\:x=-3.688791$

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Function Plot

Plotting: $3x^2+7x-15$

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0
a
b
c
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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

How to improve your answer:

Main Topic: Integral Calculus

Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.

Used Formulas

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