What are the solutions of the quadratic equation? 2 x 2 – 16 x + 32 = 0
2 answers:
Answer: x = 4 twice
Step-by-step explanation:
The given quadratic equation is expressed as
2x^2 - 16x + 32 = 0
Dividing the left hand side and the right hand side of the equation by 2, it becomes
x^2 - 8x + 16 = 0
We would find two numbers such that their sum or difference is -8x and their product is 16x^2. The two numbers are - 4x and - 4x. They,
x^2 - 4x - 4x + 16 = 0
x(x - 4) - 4(x - 4) = 0
x - 4 = 0 or x- 4 = 0
x = 4 twice
Answer:
4 - 16 x + 32 = 0
- 16 x = - 4 - 32
- 16 x = - 36
X = 2.25
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