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Solving an Equation

Find the valu...

Question

Find the value of y:
$\Rightarrow y^{2} + 8 y + 16 = 0$

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Solution

$\Rightarrow y^{2} + 4 y + 4 y + 16 = 0$
$\Rightarrow y (y + 4) + 4 (y + 4) = 0$
$\Rightarrow (y + 4)^{2} = 0$
$\Rightarrow y = - 4 A n s .$

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Similar questions

Q. The equation of the parabola with focus (0, 0) and directrix x + y = 4 is
(a) x² + y² − 2xy + 8x + 8y − 16 = 0
(b) x² + y² − 2xy + 8x + 8y = 0
(c) x² + y² + 8x + 8y − 16 = 0
(d) x² − y² + 8x + 8y − 16 = 0

Q. State true or false:

y^{2} + 8 y + 16 = 0

y = - 4

.

Q. y² + 8y +16 = 0

Q. Find the greatest value of

y

satisfying the relation

x^{2} + y^{2} = 6 x - 8 y

Q. If the curves

x^{2} - 6 x + y^{2} + 8 = 0

x^{2} - 8 y + y^{2} + 16 - k = 0, (k > 0)

touch each other at a point, then the largest value of

k

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