Question

Solve the quadratic equation. 0 = 5x2 - 2x + 6

Answer 1

its the 3rd answer on edge

Answer 2

we have

`0=5x^(2) -2x+6`

Group terms that contain the same variable, and move the constant to the opposite side of the equation

`5x^(2) -2x=-6`

Factor the leading coefficient

`5(x^(2) -(2/5)x)=-6`

Complete the square. Remember to balance the equation by adding the same constants to each side

`5(x^(2) -(2/5)x+(1/25))=-6+(1/5)`

`5(x-(1/5))^(2)=-(29/5)`

`(x-(1/5))^(2)=-(29/25)`

remember that

`i=√(-1)`

`(x-(1/5))^(2)=-(29/25)\\ \\ (x-(1/5))=(+/-)\frac{√(29)} {5}i\\ \\ x1=(1)/(5) +\frac{√(29)} {5}i\\ \\ x2=(1)/(5) -\frac{√(29)} {5}i`

therefore

the answer is

the solutions of the quadratic equation are

`x1=(1)/(5) +\frac{√(29)} {5}i`

`x2=(1)/(5) -\frac{√(29)} {5}i`