Question

The roots of the equation 4x2 – 4a²x + (a4 – 64) = 0 is​

Answer 1

Step-by-step explanation:

4x²-4a²x+(a⁴-b⁴)=0

a=4

b=-4a²

c=a⁴-b⁴

D=

{b}^{2} - 4acb

2

−4ac

(-4a²)²-4×4×(a⁴-b⁴)

16a⁴-16a⁴+16b⁴

D=16b⁴

x=-b±√D/2a

=-(-4a²)±4a²/2×4

=4a²±4a²/8

x=4a²+4a²/8

=8a²/8

=a²

x=4a²-4a²/8

=0/8

=0

the roots of the given quadratic equations is a² & 0......

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