NEED HELP WITH THIS PLEASE. Just show me how please.

Given:

The quadratic equation is:

To find:

The discriminant of the given equation and the number of real solutions.

Solution:

If a quadratic equation is , then the value of discriminant is:

If D<0, then the quadratic equation has no real roots or two imaginary roots.

If D=0, then the quadratic equation has two equal real roots.

If D>0, then the quadratic equation has two distinct real roots.

We have,

Here, . So, the discriminant of the given equation is:

Since D<0, therefore the number of real solutions is 0.

Hence, the value of the discriminant is -31 and the number of real solutions is 0.

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step-by-step explanation:

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents