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If using the method of completing the square to solve the quadratic equation x^2-15x-10=0, which number would have to be added to complete the square

Respuesta :

unicorn3125

Answer:

            [tex]\bold{\dfrac{225}4}[/tex]

Step-by-step explanation:

[tex]x^2-15x-10=0\\\\x^2-2\cdot x\cdot\frac{15}2+(\frac{15}2)^2-(\frac{15}2)^2-10=0\\\\(x-\frac{15}2)^2-\frac{225}4-10=0[/tex]

So to complete the square we need to add (and subtract) the number  [tex]\frac{225}4[/tex]

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