# How do you solve quadratic equations with complex numbers?

## How do you solve quadratic equations with complex numbers?

Quadratic equation as, ax2+bx+c=0 a x 2 + b x + c = 0 where a,b,c are complex numbers and a≠ 0. (i) if D = b2 – 4ac = 0 then the roots are complex and equal. (ii) if D = b2−4ac≠ b 2 − 4 a c ≠ 0 then complex but unequal roots.

### Does the quadratic formula work for complex numbers?

The quadratic formula works regardless of whether the coefficients are real or complex.

Which equation shows the quadratic formula correctly to solve 7x?

Therefore, the quadratic formula used correctly to solve 7×2 = 9 + x for x is x=1±√25314 x = 1 ± 253 14 .

What is the discriminant of 3x 2 10x 2?

The discriminant of is 76. Here, a=3, b=-10 and c=2. Substitute the values, Therefore, the discriminant of is 76.

## What is the discriminant of 9x 2 10x?

Which equation has the solutions? What is the discriminant of 9×2 + 2 = 10x? If x = -3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equation? The discriminant is 0.

### Which equation shows the quadratic formula used correctly to solve 5x squared plus 3x minus 4 equals 0 4x?

Answer: The equation that shows the quadratic formula is used correctly to solve 5×2 + 3x – 4 = 0 for x is x = [-3 ± √{32 − 4 × 5 × (-4)}] / (2 × 5) and the values of x are (-3 + √89)/10 and (-3 – √89)/10. Let’s look into the solution below.

What is the discriminant of the quadratic equation 3 4x =- 6×2?

– 56
The given quadratic equation is 3 – 4x = -6×2. The standard quadratic equation is the form ax2 + bx + c= 0. Therefore, the discriminant of the quadratic equation 3 – 4x = -6×2 is – 56.

What is discriminant of 9×2 2 10x?

## What is the discriminant of the quadratic equation 3 4x 6×2 68 56?

The standard quadratic equation is the form ax2 + bx + c= 0. Therefore, the discriminant of the quadratic equation 3 – 4x = -6×2 is – 56.

### What is the discriminant of 3x 2/10 =- 2?

What is discriminant of the quadratic equation 3 4x =- 6x 2?

-56
The discriminant of the quadratic equation 3 – 4x = -6×2 is -56.

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