Question

Use the Quadratic Formula to solve the equation. (Enter your answers as a comma-separated list.)5x^2 + x = −5

Answer 1

5x^2 + x = -5

Equal to zero:

5x^2 + x + 5 = 0

General form:

ax^2 + bx + c

Where:

a= 5

b= 1

c= 5

Apply the quadratic formula:

`(-b\pm√(b^2-4* a* c))/(2* a)`

Replacing:

`(-1\pm√(1^2-4*5*5))/(2*5)`
`(-1\pm√(-99))/(10)`
`\frac{-1\pm\sqrt[\placeholder{⬚}]{-1}*√(99)}{10}`
`\frac{-1\pm3\sqrt[\placeholder{⬚}]{11}\text{ i}}{10}`

Positive:

`\frac{-1+3i\sqrt[\placeholder{⬚}]{11}}{10}`

Negative

`\frac{-1-3i\sqrt[\placeholder{⬚}]{11}}{10}`