5,x2 + 3x + 5 = 0

Open in App

Solution

Given equation is x 2 +3x+5=0 .

Any equation of the form a x 2 +bx+c=0 has the solution

x= −b± D 2a

Here, D= b 2 −4ac is called the discriminant of the quadratic equation.

Therefore,

x= −3± 9−4×1×5 2 = −3± 11 i 2

Thus, x= −3± 11 i 2

Suggest Corrections

Similar questions

2 \sqrt{5} x^{2} - 3 x - \sqrt{5} = 0

Find

x

Find the equation of circle circumscribing the quadrilateral formed by four lines $3 x + 4 y - 5 = 0$ , $4 x - 3 y - 5 = 0$ , $3 x + 4 y + 5 = 0$ and $4 x - 3 y + 5 = 0$

Q. Solve the equation

x^{2} + 3 x + 5 = 0

Solve graphically.

(1)

(2)

(3)

(4)

(5)

(6)

Q. Solve the following inequalities

x^{2} - 3 x + 5 > 0.

Join BYJU'S Learning Program

5,x2 + 3x + 5 = 0

Given equation is x 2 +3x+5=0 . Any equation of the form a x 2 +bx+c=0 has the solution x= −b± D 2a Here, D= b 2 −4ac is called the discriminant of the quadratic equation. Therefore, x= −3± 9−4×1×5 2 = −3± 11 i 2 Thus, x= −3± 11 i 2

Given equation is x 2 +3x+5=0 .

Any equation of the form a x 2 +bx+c=0 has the solution

x= −b± D 2a

Here, D= b 2 −4ac is called the discriminant of the quadratic equation.

Therefore,

x= −3± 9−4×1×5 2 = −3± 11 i 2

Thus, x= −3± 11 i 2