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x^2=50


x= 5 square root of 2

Answer:

Solution of the given Quadratic equation are +5√2 and -5√2.

 

Step-by-step explanation:

We are given Quadratic Equation,

[tex]50-x^2=0[/tex]

To find: Solutions of the given quadratic equation.

Consider,

[tex]50-x^2=0[/tex]

transpose x² to RHS,

[tex]50=x^2[/tex]

Now transpose whole RHS to LHS and whole LHS to RHS,

[tex]x^2=50[/tex]

Now, Apply square root both sides,

[tex]x=\pm\sqrt{50}[/tex]

[tex]x=\pm\sqrt{2\times5\times5}[/tex]

[tex]x=\pm5\sqrt{2}[/tex]

Therefore, Solution of the given Quadratic equation are +5√2 and -5√2.