Solve the Quadratic Equation: x² = 10 and Explore Its Roots

Question

Resolve:

0=x2100 0=x^2-\sqrt{100}

Video Solution

Solution Steps

00:00 Solve
00:03 Calculate the square root of 100
00:07 Isolate X
00:18 Extract the root and find the solution
00:26 And this is the solution to the question

Step-by-Step Solution

To resolve the equation 0=x21000 = x^2 - \sqrt{100}, follow these steps:

  • Simplify 100\sqrt{100}:
    100=10\sqrt{100} = 10 as 100 is a perfect square.
  • Rewrite the equation using the simplified term:
    x2=10x^2 = 10.
  • Apply the square root property to solve for xx:
    x=±10x = \pm\sqrt{10}.

Therefore, the solution to the equation is x=±10 x = \pm\sqrt{10} .

Answer

±10 \pm\sqrt{10}