math please solve the following math questions 1. solve the quadratic equation b

Question

math
please solve the following math questions
1. solve the quadratic equation by using the quadratic formula.

the solution are.
( simplify your answers. Type exact answers, Using radicals as needed. express complex solutions in terms of i. use a comma to separate answers as needed. )
2. Determine the discriminant of the quadratic equation. use the value of the discriminant to determine whether the quadratic equation has two rational solutions, two irrational solutions, one repeated real solutions, or two complex solutions that are not real.

discriminant =
Determine the number of solutions the quadratic equation has.
3. solve the equation.

x =
( Use a comma to separate answers as needed )
4. solve the equation by using the quadratic formula.

p =
( simplify your answer. Type each answer as a single fraction using radicals as needed. use a comma to separate answers as needed. express complex numbers in terms of i. )

Explanation / Answer

1) x2 = 7x +5

==> x2 -7x -5 = 0

==> x = [-(-7) + ((-7)2 -4(1)(-5))]/2 , [-(-7) - ((-7)2 -4(1)(-5))]/2

==> x = [7 + 69]/2 , [7 - 69]/2

2) 2w2 = 4w -7

==> 2w2 - 4w +7 = 0

Discriminant D = (-4)2 -4(2)(7) = 16 - 56 = -40

as D < 0 roots are complex solutions

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