I x sup2 minus 16x 64 0 II y sup2 minus 16y 63 0 ........

Quantitative Aptitude (SBI-CL) Quadratic Equations

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Directions (): Solve the given quadratic equations and mark the correct option based on your answer—

I. x² − 16x + 64 =0

II.y² − 16y + 63 = 0

x > y

x ≤ y

x ≥ y

x < y

No relation can be established between x and y.

Explanation:

I. x² − 16x + 64 = 0
x² − 8x – 8x + 64 = 0
x(x − 8) − 8(x − 8) = 0
(x − 8) (x − 8) = 0
x = 8, 8
II. y² − 16y + 63 = 0
y² − 7y – 9y + 63 = 0
y(y − 7) − 9(y − 7) = 0
(y − 9) (y − 7) = 0
y = 9, 7
No relation can be established between x & y