Question

Solve the quadratic equation 3x^2 +x-5=0 give your answers to two decimal places

Answer 1

`x = ((-1+√(61)))/(6)`

`x = ((-1-√(61)))/(6)`

Explaination:

Quadratic Equation 3x²+x-5=0

The quadratic formula is the solution of the quadratic equation. There are various methods to solve the quadratic equation instead of using the quadratic formula, such as AC method (factoring), completing the square method, or graphing method.

Standard Quadratic equation is :

ax²+bx+c=0

The quadratic formula is :

x =
`\frac{-b+-\sqrt{b^(2)-4ac} }{2a}`

now put the values of a, b, c in this formula

a = 3, b= 1, c=-5

x =
`((-1+√(61)))/(2*3)`

or

x =
`((-1-√(61)))/(2*3)`

So final answer,

`x=(-1+√(61))/(6)`

`x=(-1-√(61))/(6)`