Solve Using the Quadratic Formula x^2-7x+12=0

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Algebra

$x^{2} - 7 x + 12 = 0$

Use the quadratic formula to find the solutions.

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

Substitute the values $a = 1$ , $b = - 7$ , and $c = 12$ into the quadratic formula and solve for $x$ .

$\frac{7 \pm \sqrt{{(- 7)}^{2} - 4 \cdot (1 \cdot 12)}}{2 \cdot 1}$

Simplify.

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Simplify the numerator.

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Raise $- 7$ to the power of $2$ .

$x = \frac{7 \pm \sqrt{49 - 4 \cdot 1 \cdot 12}}{2 \cdot 1}$

Multiply $- 4$ by $1$ .

$x = \frac{7 \pm \sqrt{49 - 4 \cdot 12}}{2 \cdot 1}$

Multiply $- 4$ by $12$ .

$x = \frac{7 \pm \sqrt{49 - 48}}{2 \cdot 1}$

Subtract $48$ from $49$ .

$x = \frac{7 \pm \sqrt{1}}{2 \cdot 1}$

Any root of $1$ is $1$ .

$x = \frac{7 \pm 1}{2 \cdot 1}$

Multiply $2$ by $1$ .

$x = \frac{7 \pm 1}{2}$

The final answer is the combination of both solutions.

$x = 4, 3$

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Name

Name	one billion eight hundred six million fifty thousand seven hundred fifty-one

Interesting facts

1806050751 has 8 divisors, whose sum is 1821478624
The reverse of 1806050751 is 1570506081
Previous prime number is 151

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 33
Digital Root 6

Name

Name	one billion four hundred twenty-three million eighty-seven thousand eight hundred forty-one

Interesting facts

1423087841 has 16 divisors, whose sum is 1863047424
The reverse of 1423087841 is 1487803241
Previous prime number is 433

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 38
Digital Root 2

Name

Name	two billion one hundred twenty-nine million six hundred seventy-six thousand five hundred fifteen

Interesting facts

2129676515 has 4 divisors, whose sum is 2555611824
The reverse of 2129676515 is 5156769212
Previous prime number is 5

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 44
Digital Root 8

Find the Discriminant -7x^2+8x+2