Question

Solve the following quadratic equation.

5m² + 2m + 1 = 0

Answer 1

5m² + 2m + 1 = 0

a = 5, b = 2, c = 1

= b² - 4ac

= 4 - 4 × 5 × 1

= 4 - 20

= -16

∴ The roots of the quadratic equation are not real.

m = `(-"b" ± sqrt("b"^2 - 4"ac"))/"2a"`

= `(-2 ± sqrt((2)^2 - 4 xx 5 xx 1))/(2 xx 5)`

= `(-2 ± sqrt(4 - 20))/10`

= `(-2 ± sqrt(-16))/10`

= `(-2 + 4 sqrt-1)/10`

= `(2(-1 + 2 sqrt-1))/10`

= `(-1 -2 sqrt1)/5`

So, the roots are not real as the discriminant is negative.