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 billion three hundred eighty-nine million eight hundred eleven thousand two hundred fifty-nine |
---|

- 1389811259 has 4 divisors, whose sum is
**1462959240** - The reverse of 1389811259 is
**9521189831** - Previous prime number is
**19**

- Is Prime? no
- Number parity odd
- Number length 10
- Sum of Digits 47
- Digital Root 2

Name | one billion two hundred forty-seven million six hundred eighty-six thousand nine hundred fifteen |
---|

- 1247686915 has 8 divisors, whose sum is
**1545522048** - The reverse of 1247686915 is
**5196867421** - Previous prime number is
**31**

- Is Prime? no
- Number parity odd
- Number length 10
- Sum of Digits 49
- Digital Root 4

Name | one hundred ninety-seven million one hundred seven thousand two hundred thirty-eight |
---|

- 197107238 has 16 divisors, whose sum is
**308883456** - The reverse of 197107238 is
**832701791** - Previous prime number is
**83**

- Is Prime? no
- Number parity even
- Number length 9
- Sum of Digits 38
- Digital Root 2