Which equation has the same solution as x^2-6x-14=0
2 answers:
B. X^2-6x. =14
Half of -6 is -3 and -3^2=9 so add 9 to both sides
X^2-6x+9 = 14+9
(X-3)^2= 23
Answer:
(x-3)² = 23 Option B
Step-by-step explanation:
Given quadratic is :
x² - 6x - 14 = 0
Use complete the square method
Move loose term from left side to right side.
x² - 6x = 14
add both the side square of half coefficient of x that is,
half of -6 = -3
square of -3 = 9
Add both the side 9
x² - 6x + 9 = 14 + 9
(x - 3)² = 23
this is same as (x-3)²=23 second option
That's the final answer.
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