State the value of the discriminant. then determine the number of real roots of the equation. –8w2 = –(11w – 7)

No real roots

Step-by-step explanation:

In order to find the value of the discriminant, we proceed to re-write the quadratic expression with all the terms on one side of the equal sign. First solving the indicated parenthesis preceded by the negative sign, and then by adding on both sides:

now we identify the values   that appear in the expression of the discriminant:

These are:

Therefore:

This is a negative number, which means that the solutions to the quadratic equations are imaginary numbers, and not real numbers.

a) 15/7

step-by-step explanation:

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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