Solve Using the Quadratic Formula x^2-3x-10=0

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Algebra

$x^{2} - 3 x - 10 = 0$

Use the quadratic formula to find the solutions.

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

Substitute the values $a = 1$ , $b = - 3$ , and $c = - 10$ into the quadratic formula and solve for $x$ .

$\frac{3 \pm \sqrt{{(- 3)}^{2} - 4 \cdot (1 \cdot - 10)}}{2 \cdot 1}$

Simplify.

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Simplify the numerator.

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Raise $- 3$ to the power of $2$ .

$x = \frac{3 \pm \sqrt{9 - 4 \cdot 1 \cdot - 10}}{2 \cdot 1}$

Multiply $- 4$ by $1$ .

$x = \frac{3 \pm \sqrt{9 - 4 \cdot - 10}}{2 \cdot 1}$

Multiply $- 4$ by $- 10$ .

$x = \frac{3 \pm \sqrt{9 + 40}}{2 \cdot 1}$

Add $9$ and $40$ .

$x = \frac{3 \pm \sqrt{49}}{2 \cdot 1}$

Rewrite $49$ as $7^{2}$ .

$x = \frac{3 \pm \sqrt{7^{2}}}{2 \cdot 1}$

Pull terms out from under the radical, assuming positive real numbers.

$x = \frac{3 \pm 7}{2 \cdot 1}$

Multiply $2$ by $1$ .

$x = \frac{3 \pm 7}{2}$

The final answer is the combination of both solutions.

$x = 5, - 2$

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Name

Name	one billion nine hundred seventy-seven million six hundred thirty-five thousand four hundred forty-eight

Interesting facts

1977635448 has 128 divisors, whose sum is 11873651328
The reverse of 1977635448 is 8445367791
Previous prime number is 1667

Basic properties

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

Name

Name	one billion seven hundred ninety million ninety-nine thousand four hundred sixty

Interesting facts

1790099460 has 64 divisors, whose sum is 4884675840
The reverse of 1790099460 is 0649900971
Previous prime number is 43

Basic properties

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

Name

Name	two billion one hundred twenty-nine million three hundred sixty-one thousand five hundred fifty-five

Interesting facts

2129361555 has 16 divisors, whose sum is 3479468544
The reverse of 2129361555 is 5551639212
Previous prime number is 47

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 39
Digital Root 3

Solve Using the Quadratic Formula x^2+x-1=0

Factor y^2-4

Find the Inverse f(x)=x/8-7

Convert to Radical Form x^(4/3)

Solve for x 1+2e^(x+1)=9