To find a quadratic equation with solutions 9 and z = -1, we use the fact that the sum of the roots of a quadratic equation is equal to -b/a and the product of the roots is c/a.
Given solutions: 9 and z = -1
Step 1: Write the quadratic equation in the form x² + bx + c = 0 using the given solutions.
Since the solutions are 9 and z = -1, the equation can be written as:
(x - 9)(x + 1) = 0
Step 2: Expand the equation to simplify and get it in the form x² + bx + c = 0.
Expanding (x - 9)(x + 1):
x² + x - 9x - 9 = 0
x² - 8x - 9 = 0
Therefore, the quadratic equation with solutions 9 and z = -1 in the simplest standard form x² + bx + c = 0 is:
x² - 8x - 9 = 0
