Number graph ranging from negative five to five on the x and y axes. A line is drawn on the graph that passes through the labele
d points (negative three, negative one) and (one-half, two). Which is an equation of the given line in standard form?
A. –6x + 5y = 13
B. –7x + 6y =–11
C. –6x + 7y = 11
D. –6x +7y =–11
A. –6x + 5y = 13
B. –7x + 6y =–11
C. –6x + 7y = 11
D. –6x +7y =–11
1 answer:
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Given:
The function is:
To find:
The zeroes of the given function by using the Method of Completing the square.
Solution:
We have,
It can be written as:
By Method of Completing the square add and subtract square of half of coefficient of x in the parenthesis.
For zeroes, F(x)=0.
Taking square root on both sides, we get
and
and
Therefore, the zeroes of the given function are -0.45 and -5.55.