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Solve the quadratic equation $4x^2=2+61x$

Step-by-step Solution

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Solution

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Final answer to the problem

$x=15.2827167,\:x=-\frac{7}{214}$
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Step-by-step Solution

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Rearrange the equation

$2+61x=4x^2$

Learn how to solve product rule of differentiation problems step by step online.

$2+61x=4x^2$

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Learn how to solve product rule of differentiation problems step by step online. Solve the quadratic equation 4x^2=2+61x. Rearrange the equation. Grouping all terms to the left side of the equation. For a simpler handling of the equation, change the sign of all terms, multiplying the entire whole by -1. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (4) to all terms.

Final answer to the problem

$x=15.2827167,\:x=-\frac{7}{214}$

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 quadratic formula (general formula)Find break even pointsFind the discriminant

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Function Plot

Plotting: $4x^2-2-61x$

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1
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4
5
6
7
8
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
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: Product Rule of differentiation

The product rule is a formula used to find the derivatives of products of two or more functions. It may be stated as $(f\cdot g)'=f'\cdot g+f\cdot g'$

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