Use the quadratic formula to find the solutions.

Substitute the values <math><mstyle displaystyle="true"><mi>a</mi><mo>=</mo><mn>3</mn></mstyle></math> , <math><mstyle displaystyle="true"><mi>b</mi><mo>=</mo><mo>-</mo><mn>2</mn></mstyle></math> , and <math><mstyle displaystyle="true"><mi>c</mi><mo>=</mo><mo>-</mo><mn>5</mn></mstyle></math> into the quadratic formula and solve for <math><mstyle displaystyle="true"><mi>x</mi></mstyle></math> .

Simplify the numerator.

Raise <math><mstyle displaystyle="true"><mo>-</mo><mn>2</mn></mstyle></math> to the power of <math><mstyle displaystyle="true"><mn>2</mn></mstyle></math> .

Multiply <math><mstyle displaystyle="true"><mo>-</mo><mn>4</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>3</mn></mstyle></math> .

Multiply <math><mstyle displaystyle="true"><mo>-</mo><mn>12</mn></mstyle></math> by <math><mstyle displaystyle="true"><mo>-</mo><mn>5</mn></mstyle></math> .

Add <math><mstyle displaystyle="true"><mn>4</mn></mstyle></math> and <math><mstyle displaystyle="true"><mn>60</mn></mstyle></math> .

Rewrite <math><mstyle displaystyle="true"><mn>64</mn></mstyle></math> as <math><mstyle displaystyle="true"><msup><mrow><mn>8</mn></mrow><mrow><mn>2</mn></mrow></msup></mstyle></math> .

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

Multiply <math><mstyle displaystyle="true"><mn>2</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>3</mn></mstyle></math> .

Simplify <math><mstyle displaystyle="true"><mfrac><mrow><mn>2</mn><mo>±</mo><mn>8</mn></mrow><mrow><mn>6</mn></mrow></mfrac></mstyle></math> .

The final answer is the combination of both solutions.

Do you know how to Solve Using the Quadratic Formula 3x^2-2x-5=0? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

Name | one billion seven hundred thirty-one million eight hundred thirty-eight thousand six hundred seven |
---|

- 1731838607 has 4 divisors, whose sum is
**1731924480** - The reverse of 1731838607 is
**7068381371** - Previous prime number is
**53503**

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

Name | four hundred five million one hundred forty-two thousand three hundred ninety-two |
---|

- 405142392 has 32 divisors, whose sum is
**1823140872** - The reverse of 405142392 is
**293241504** - Previous prime number is
**3**

- Is Prime? no
- Number parity even
- Number length 9
- Sum of Digits 30
- Digital Root 3

Name | one billion seven hundred eighty-two million eight hundred sixty-four thousand five hundred fifty |
---|

- 1782864550 has 64 divisors, whose sum is
**4045427712** - The reverse of 1782864550 is
**0554682871** - Previous prime number is
**151**

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