What are the solutions to the equation 5x^2+6x=15 ?

The solutions to the equation 5x^2+6x=15 are x=(-3+2sqrt(21))/5 ,x=-(3+2sqrt(21))/5

Find the zeros of 5x^2+6x=15

The zeros of 5x^2+6x=15 are x=(-3+2sqrt(21))/5 ,x=-(3+2sqrt(21))/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5 x^{2} + 6 x = 15

x = \frac{- 3 + 2 21}{5}, x = - \frac{3 + 2 21}{5}

Decimal Notation

x = 1.23303 \dots, x = - 2.43303 \dots

Solution steps

5 x^{2} + 6 x = 15

Move

15

to the left side

5 x^{2} + 6 x - 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 5 ( - 15 )}{2 \cdot 5}

6^{2} - 4 \cdot 5 (- 15) = 421

x_{1, 2} = \frac{- 6 \pm 4 21}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 6 + 4 21}{2 \cdot 5}, x_{2} = \frac{- 6 - 4 21}{2 \cdot 5}

x = \frac{- 6 + 4 21}{2 \cdot 5} : \frac{- 3 + 2 21}{5}

x = \frac{- 6 - 4 21}{2 \cdot 5} : - \frac{3 + 2 21}{5}

The solutions to the quadratic equation are:

x = \frac{- 3 + 2 21}{5}, x = - \frac{3 + 2 21}{5}

x^{2} + 4 x - 3 = 0

x^{2} + 2 x = 4 x

6 x^{2} + 2 x + 3 = 0

3 x^{2} + 5 = 41

x, x^{2} - x = 0

What are the solutions to the equation 5x^2+6x=15 ?
The solutions to the equation 5x^2+6x=15 are x=(-3+2sqrt(21))/5 ,x=-(3+2sqrt(21))/5
Find the zeros of 5x^2+6x=15
The zeros of 5x^2+6x=15 are x=(-3+2sqrt(21))/5 ,x=-(3+2sqrt(21))/5