Question

A quadratic equation is shown below:

9x2 - 36x + 36 = 0

Part A: Describe the solution(s) to the equation by just determining the discriminant. Show your work. (3 points)

Part B: Solve 2x2 - 9x + 7 = 0 using an appropriate method. Show the steps of your work and explain why you chose the method used.(4 points)

Answer 1

9x2 - 36x + 36 = 0 can be written as x2 - 4x + 4 = 0 discriminant = b^2-4*ac= (-4)*(-4) - 4*1*4 =0 so the roots are real and equal

Answer 2

So the roots are also the solutions?

Answer 3

for second part factor as 2x^2 - 2x - 7x + 7 = 2x(x-1) -7*(x-1) = (2x-7)(x-1) are the roots or you can use discriminant method also

lik a=2, b=-9, c= 7, D = b^2 -4ac = (-9)*(-9) - 4 *2*7 =81-56 =25
so roots are real and unequal

Answer 4

roots are real and unequal