Solve Using the Quadratic Formula 3x^2-5x+2=0

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Algebra

$3 x^{2} - 5 x + 2 = 0$

Use the quadratic formula to find the solutions.

$\frac{- b \pm \sqrt{b^{2} - 4 (a c)}}{2 a}$

Substitute the values $a = 3$ , $b = - 5$ , and $c = 2$ into the quadratic formula and solve for $x$ .

$\frac{5 \pm \sqrt{{(- 5)}^{2} - 4 \cdot (3 \cdot 2)}}{2 \cdot 3}$

Simplify.

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Simplify the numerator.

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Raise $- 5$ to the power of $2$ .

$x = \frac{5 \pm \sqrt{25 - 4 \cdot 3 \cdot 2}}{2 \cdot 3}$

Multiply $- 4$ by $3$ .

$x = \frac{5 \pm \sqrt{25 - 12 \cdot 2}}{2 \cdot 3}$

Multiply $- 12$ by $2$ .

$x = \frac{5 \pm \sqrt{25 - 24}}{2 \cdot 3}$

Subtract $24$ from $25$ .

$x = \frac{5 \pm \sqrt{1}}{2 \cdot 3}$

Any root of $1$ is $1$ .

$x = \frac{5 \pm 1}{2 \cdot 3}$

Multiply $2$ by $3$ .

$x = \frac{5 \pm 1}{6}$

The final answer is the combination of both solutions.

$x = 1, \frac{2}{3}$

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Name

Name	eight hundred twenty-three million eight hundred seventy thousand four hundred eighty-one

Interesting facts

823870481 has 8 divisors, whose sum is 954465024
The reverse of 823870481 is 184078328
Previous prime number is 73

Basic properties

Is Prime? no
Number parity odd
Number length 9
Sum of Digits 41
Digital Root 5

Name

Name	one billion two hundred forty-four million four hundred sixty-seven thousand six hundred twenty-nine

Interesting facts

1244467629 has 8 divisors, whose sum is 1416467640
The reverse of 1244467629 is 9267644421
Previous prime number is 41

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 45
Digital Root 9

Name

Name	one billion five hundred eighty-seven million five hundred fifty-five thousand five hundred ninety-four

Interesting facts

1587555594 has 16 divisors, whose sum is 2646572040
The reverse of 1587555594 is 4955557851
Previous prime number is 16033

Basic properties

Is Prime? no
Number parity even
Number length 10
Sum of Digits 54
Digital Root 9

Evaluate square root of 162

Evaluate log base 9 of 27

Solve by Factoring x^4-7x^2+6=0

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Simplify i^66