If b is the mean proportional between a and c, prove that (ab + bc) is the mean proportional between (a² + b²) and (b² + c²).
Solution:
If y is mean proportional between x and z, prove that
xyz (x + y + z)³ = (xy + yz + zx)³.
Solution:
More Solutions:
- Find The remainder when 2×3 – 3×2 + 4x + 7.
- If (2x – 3) is a factor of 6×2 + x + a, find the value of a.
- Prove that (5x + 4) is a factor of 5×3 + 4×2 – 5x – 4.
- Use factor theorem to factorize the following polynomials completely:
- If x3 – 2×2 + px + q has a factor (x + 2) and leaves a remainder 9.
- If (x + 3) and (x – 4) are factors of x3 + ax2 – bx + 24.