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Find the roots of $6x^2-19x+15=0$

Step-by-step Solution

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Final Answer

$x=\frac{3}{2},\:x=\frac{5}{3}$
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Step-by-step Solution

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Factor the trinomial $6x^2-19x+15$ of the form $ax^2+bx+c$, first, make the product of $6$ and $15$

$\left(6\right)\left(15\right)=90$

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$\left(6\right)\left(15\right)=90$

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Learn how to solve equations problems step by step online. Find the roots of 6x^2-19x+15=0. Factor the trinomial 6x^2-19x+15 of the form ax^2+bx+c, first, make the product of 6 and 15. Now, find two numbers that multiplied give us 90 and add up to -19. Rewrite the original expression. Factor 6x^2-10x-9x+15 by the greatest common divisor 3.

Final Answer

$x=\frac{3}{2},\:x=\frac{5}{3}$

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Function Plot

Plotting: $6x^2-19x+15$

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1
2
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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
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: Equations

In mathematics, an equation is a statement of an equality containing one or more variables. Solving the equation consists of determining which values of the variables make the equality true. In this situation, variables are also known as unknowns and the values which satisfy the equality are known as solutions.

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