BRAINLIESTTT ASAP! PLEASE HELP ME :)
2 answers:
Answer:
x = -3 and x = 1.5
Step-by-step explanation:
Your equation is
2x² + 5x - 9 = 2x
1. Subtract 2x from each side
2x² + 3x - 9 = 0
2. Solve the quadratic for x
(a) Multiply the first and last terms
2 × (-9 )= -18
(b) List all the factors of 18
1 18
2 9
3 6
(c) Find a pair of factors whose product is -18 and whose sum is 3.
After some trial and error, you will choose +6 and -3
6 × (-3) = -18 and 6 + (-3) = 1.
(d) Rewrite 3x as 6x - 3x
2x² + 6x - 3x - 9 = 0
(e) Factor by grouping
2x(x + 3) - 3(x + 3) = 0
(x + 3)(2x - 3) = 0
(f) Use the zero product theorem
x + 3 = 0 2x - 3 = 0
x = -3 2x = 3
x = 1.5
The roots of your parabola are at x = -3 and x = 1.5
The diagram below shows a graph of your parabola with roots at (-3, 0) and (1.5, 0).
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