Question

Solve: 16x2 – 8a²x + (a⁴ - b⁴) = 0 for x

class 10 quadratic equations​

Answer 1

Step-by-step explanation:

1. have, a=16,b=-8a^2,c=a^4-b^4
2. x=-b+- √ b-4ac/2a
3. -(-8a^2)+-√(-8a^2)^2-4×16×(a^4-b^4)/2×16
4. 8a^2+-√64a^4-64a^4+64b^4/2×16
5. 8a+-√64b^4/2×16
6. 8a^2+-8b^2/2×16
7. 8(a^2+-8b^2)/32
8. a^2+-b^2/4
9. ans a^2+b^2/4
10. ans a^2-b^2/4