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

Resolve:

0=x2−100 0=x^2-\sqrt{100}

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Step-by-step video solution

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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 written solution

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1

Understand the problem

Resolve:

0=x2−100 0=x^2-\sqrt{100}

2

Step-by-step solution

To resolve the equation 0=x2−1000 = 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} .

3

Final Answer

±10 \pm\sqrt{10}

Practice Quiz

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Solve for X:

\( x\cdot x=49 \)

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