Answered

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Rewrite the equation by completing the square.X^2 + 11x + 24 = 0

Rewrite The Equation By Completing The SquareX2 11x 24 0 class=

Sagot :

Solution

For this case we can complete the square on this way:

[tex]x^2+11x+(\frac{11}{2})^2+24-(\frac{11}{2})^2[/tex]

and if we simplify we got:

[tex](x+\frac{11}{2})^2+24-\frac{121}{4}=(x+\frac{11}{2})^2-\frac{25}{4}[/tex]

We can use this property:

[tex](a^2+2ab+b^2)=(a+b)^2[/tex]

For this case:

[tex]a=x,b=\frac{11}{2}[/tex]

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