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Complete the square to transform the expression x2 4x 2 into the form a(x − h)2 k. (x 2)2 − 2 (x 2)2 2 (x 4)2 − 2 (x 4)2 2.

Sagot :

The square transforms the expression [tex]\rm x^{2} +4x + 2^{2}[/tex] into the form  [tex](x+2)^2-2[/tex].

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

write in the form of [tex](x+y)^{2}[/tex]

[tex]\rm x^{2} +2xy + y^{2}[/tex]

2y = 4

y = 2

so, [tex]\rm x^{2} +4x + 2^{2}[/tex]

we will now convert it into the form

[tex]\rm x^{2} +2xy + y^{2}[/tex] = [tex]\rm (x+y)^{2}[/tex]

substitute the values

[tex]\rm x^{2} +4x + 2^{2} = (x+2)^{2}[/tex]

[tex](x+2)^2-2+2^2[/tex]

[tex](x+2)^2-2[/tex]

Thus, [tex](x+2)^2-2[/tex] is the correct form.

Learn more about a quadratic equation here:

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