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><mn>2</mn></mstyle></math> , and <math><mstyle displaystyle="true"><mi>c</mi><mo>=</mo><mo>-</mo><mn>3</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"><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>3</mn></mstyle></math> .

Add <math><mstyle displaystyle="true"><mn>4</mn></mstyle></math> and <math><mstyle displaystyle="true"><mn>36</mn></mstyle></math> .

Rewrite <math><mstyle displaystyle="true"><mn>40</mn></mstyle></math> as <math><mstyle displaystyle="true"><msup><mrow><mn>2</mn></mrow><mrow><mn>2</mn></mrow></msup><mo>⋅</mo><mn>10</mn></mstyle></math> .

Factor <math><mstyle displaystyle="true"><mn>4</mn></mstyle></math> out of <math><mstyle displaystyle="true"><mn>40</mn></mstyle></math> .

Rewrite <math><mstyle displaystyle="true"><mn>4</mn></mstyle></math> as <math><mstyle displaystyle="true"><msup><mrow><mn>2</mn></mrow><mrow><mn>2</mn></mrow></msup></mstyle></math> .

Pull terms out from under the radical.

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><mo>-</mo><mn>2</mn><mo>±</mo><mn>2</mn><msqrt><mn>10</mn></msqrt></mrow><mrow><mn>6</mn></mrow></mfrac></mstyle></math> .

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Do you know how to Solve Using the Quadratic Formula 3x^2+2x-3=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 hundred thirty-eight million six hundred forty-six thousand eight hundred seventy-two |
---|

- 138646872 has 256 divisors, whose sum is
**731566080** - The reverse of 138646872 is
**278646831** - Previous prime number is
**13**

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

Name | six hundred eighty-seven million nine hundred sixty thousand four hundred fourteen |
---|

- 687960414 has 64 divisors, whose sum is
**1870387200** - The reverse of 687960414 is
**414069786** - Previous prime number is
**59**

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

Name | one billion one hundred thirty-six million seven hundred thirty-three thousand seven hundred eighty-six |
---|

- 1136733786 has 32 divisors, whose sum is
**3190832640** - The reverse of 1136733786 is
**6873376311** - Previous prime number is
**19**

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