Y= (-10+√92)/4 = (-10+2√23)/2 = -5+ √23
or
y= (-10-√92)/4=-5-√23
280
The 0 is in the ones.
The 8 is in the tens.
The 2 is in the hundreds.
Answer:
was doin homework
Step-by-step explanation:
Answer:
add 21 to both sides to get everything on one side
x^2 - 10x + 21 = 0
do factorization, guess and check
(x - 7) (x -3) = 0
x =7, and x =3
The vertex form of y = 2x² - 12x + 25 is y = 2(x - 3)² + 7
Step-by-step explanation:
The vertex form of a quadratic function is y = a(x - h)² + k, where
- (h , k) are the coordinate of the vertex point
- a is the leading coefficient (coefficient of x²)
- If y = ax² + bx + c, then
- k = f(h) that means the value of y when x = h
∵ y = 2x² - 12x + 25
∵ y = ax² + bx + c
∴ a = 2 , b = -12 , c = 25
∵
∴
∴
∴ h = 3
∵ k = f(h)
∴ k = f(3)
∵ y = 2x² - 12x + 25
- Substitute x by 3 to find k
∴ k = 2(3)² - 12(3) + 25
∴ k = 18 - 36 + 25
∴ k = 7
∵ The vertex form is y = a(x - h)² + k
∵ a = 2 , h = 3 , k = 7
∴ y = 2(x - 3)² + 7
The vertex form of y = 2x² - 12x + 25 is y = 2(x - 3)² + 7
Learn more:
You can learn more about the quadratic function in brainly.com/question/9390381
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