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Find the break even points of the expression $3x^2+7x-15=0$

Step-by-step Solution

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Final Answer

$x=1.355458$
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Step-by-step Solution

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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 combining like terms 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 combining like terms problems step by step online. Find the break even points of the expression 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

$x=1.355458$

Explore different ways to solve this problem

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 formula (general formula)Find the discriminant

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

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7
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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: Combining like terms

Algebraic expressions can be simplified by combining like terms.

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