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 three hundred ninety-nine million two hundred forty-two thousand seven hundred fifty-one |
---|

- 1399242751 has 8 divisors, whose sum is
**1415007104** - The reverse of 1399242751 is
**1572429931** - Previous prime number is
**1153**

- Is Prime? no
- Number parity odd
- Number length 10
- Sum of Digits 43
- Digital Root 7

Name | seventy-one million one hundred ninety-three thousand fifty-eight |
---|

- 71193058 has 16 divisors, whose sum is
**109836000** - The reverse of 71193058 is
**85039117** - Previous prime number is
**89**

- Is Prime? no
- Number parity even
- Number length 8
- Sum of Digits 34
- Digital Root 7

Name | one billion five hundred eighty-five million two hundred thirty-three thousand two hundred fifty-six |
---|

- 1585233256 has 32 divisors, whose sum is
**5361344640** - The reverse of 1585233256 is
**6523325851** - Previous prime number is
**479**

- Is Prime? no
- Number parity even
- Number length 10
- Sum of Digits 40
- Digital Root 4