Answered

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If using the method of completing the square to solve the quadratic equation x^2-3x+20=0x 2 −3x+20=0, which number would have to be added to "complete the square"?

Sagot :

Xero099idn

Answer:

The polynomial must be added by 2.25 on each side of the equation.

Step-by-step explanation:

Let [tex]x^{2}-3\cdot x +20 = 0[/tex], we need to add each side by 2.25 to complete the square, that is, expanding the polynomial so that factor of a perfect square trinomial can be done:

1) [tex]x^{2}-3\cdot x +20 = 0[/tex] Given

2) [tex](x^{2}-3\cdot x +20) +2.25 = 2.25 + 0[/tex] Compatibility with addition/Commutative property

3) [tex](x^{2}-3\cdot x +2.25) +20 = 2.25[/tex] Commutative, associative and modulative properties.

4) [tex](x-1.5)^{2} +20 = 2.25[/tex] Perfect square trinomial/Result

Answer:

(x−21​)^2=81/4

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