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	two hundred forty-two million six hundred seventy-three thousand three hundred eighty-five

Interesting facts

242673385 has 16 divisors, whose sum is 308998800
The reverse of 242673385 is 583376242
Previous prime number is 5609

Basic properties

Is Prime? no
Number parity odd
Number length 9
Sum of Digits 40
Digital Root 4

Name

Name	five hundred thirty-three million one hundred forty-two thousand two hundred fifty-seven

Interesting facts

533142257 has 4 divisors, whose sum is 541882356
The reverse of 533142257 is 752241335
Previous prime number is 61

Basic properties

Is Prime? no
Number parity odd
Number length 9
Sum of Digits 32
Digital Root 5

Name

Name	two billion one hundred twenty-two million seven hundred seventy-four thousand six hundred ninety-six

Interesting facts

2122774696 has 128 divisors, whose sum is 8993617920
The reverse of 2122774696 is 6964772212
Previous prime number is 23

Basic properties

Is Prime? no
Number parity even
Number length 10
Sum of Digits 46
Digital Root 1

Solve Using the Quadratic Formula x^2-6x+5=0