s9003792
15.02.2020 •
Mathematics
The equation 2x2 − 12x + 1 = 0 is being rewritten in vertex form.
Fill in the missing step.
Given 2x2 − 12x + 1 = 0
Step 1 2(x2 − 6x ___) + 1 ___ = 0
Step 2 2(x2 − 6x + 9) + 1 − 18 = 0
Step 3 ✔
2(x − 3)2 + 17 = 0
2(x − 3)2 − 17 = 0
2(x + 3)2 − 17 = 0
2(x − 6)2 − 17 = 0
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Ответ:
Given ⇒ 2x² - 12x + 1 = 0
Step 1 ⇒ 2(x² - 6x + 3²) + 1 - 2(3²) = 0
Step 2 ⇒ 2(x² - 6x + 9) + 1 - 18 = 0
Step 3 ⇒ 2(x - 3)² - 17 = 0
The steps are
Separate the first two terms from the constant
Divide the coefficient of the x-term by 2, square the result, and add that inside the parenthesis to complete the square.
Since you added inside the parenthesis, you will need to subtract outside the parenthesis to keep the equation balanced.
Factor the trinomial inside the parenthesis and simplify the constant terms outside the parenthesis.
Do these steps to get B 2(x − 3)2 − 17 = 0
Step-by-step explanation:
Ответ:
v = 12cm³
Step-by-step explanation:
v = lwh
v= 6 * 2 * 1
v = 12cm³