Correct Answer: Option D

Explanation

\(\sqrt{x} + \sqrt{x + 1} = \sqrt{2x + 1}\)

Squaring both sides, we have

\((\sqrt{x} + \sqrt{x + 1})^{2} = (\sqrt{2x + 1})^{2}\)

\(x + 2\sqrt{x(x + 1)} + x + 1 = 2x + 1\)

\(2x + 1 + 2\sqrt{x(x+1)} - (2x + 1) = 0\)

\((2\sqrt{x(x + 1)})^{2}= 0^{2}  \implies 4(x(x + 1)) = 0\)

\(\therefore x(x + 1) = 0\)

\(x = \text{0 or -1}\)

• The resultant of two forces and it is at right angles to P. Show that the angle between the Force's... Answer this

  1 Answers   ·   Engineering   ·   2 months ago
• A projectile is fired at an angle of 60° to the horizontal angle with initial velocity of 50m/s^2. Calculate the;... Answer this

  2 Answers   ·   Physical Science   ·   1 month ago
• 1. Use the Boolean equation to develop a suitable logic gate which comprises a combination of OR gate, AND gate... Answer this

  1 Answers   ·   Computer   ·   8 months ago