Question

Determine the discriminant for the quadratic equation 0=-2x2+3. Based on the discriminant value, how many real number solutions does the equation have?

Answer 1

The discriminant of 0 = -2x^2 + 3 is 24 and it has 2 real solutions

How to interpret the discriminant?

The equation is given as:

0 = -2x^2 + 3

Rewrite as:

-2x^2 + 3 = 0

The discriminant of an equation is calculated using:

D = B^2 - 4AC

In this case, we have:

A = -2

B = 0

C = 3

So, we have:

D = (0)^2 - 4 * -2 * 3

Evaluate

D = 24

When the discriminant is 0 or more, then the equation has real roots

Hence, the discriminant of 0 = -2x^2 + 3 is 24 and it has 2 real solutions

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