A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Find the value or values of y in the quadratic equation y2 + 4y + 4 = 7.
Solution:
It is given that,
y2 + 4y + 4 = 7
We know that,
(a + b)2 = a2 + 2ab + b2
So, (y + 2)2 = 7
By transposing we get,
(y + 2)2 - 7 = 0
Then separating using the formula a2-b2 = (a+b) (a-b), we get
(y + 2 -√7)(y + 2 + √7) = 0 By simplification we get, y = -2 + √7 or y = -2-√7
Therefore, the value or values of y is y = -2 + √7 or y = -2-√7.
Find the value or values of y in the quadratic equation y2 + 4y + 4 = 7.
Summary:
The value or values of y in the quadratic equation y2 + 4y + 4 = 7 is y = -2 + √7 or y = -2-√7.
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