If 2x2+9+2x2−9=9+37 and 2x3+9−2x2−9=a−b, then

MathematicsIf 2×2+9+2×2−9=9+37 and 2×3+9−2×2−9=a−b, then

If $\sqrt{2 x^{2} + 9} + \sqrt{2 x^{2} - 9} = 9 + 3 \sqrt{7}$ and $\sqrt{2 x^{3} + 9} - \sqrt{2 x^{2} - 9} = \sqrt{a} - \sqrt{b}$ , then

$\sqrt{2 x^{2} + 9} + \sqrt{2 x^{2} - 9} = 9 + 3 \sqrt{7}$

$\sqrt{2 x^{3} + 9} - \sqrt{2 x^{2} - 9} = \sqrt{a} - \sqrt{b}$

Comparison

$\sqrt{a} = 9, \sqrt{b} = - 3 \sqrt{7}$

$a = 81, b = 9 \times 7 = 63$

Area of Square

Pythagoras Theorem

Triangle Formulae

Area Formulae

Volume of Cone Formula