Kena2001
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What equation results from completing the square and then factoring?
X^2 + 10x= 15
A. (x + 10)^2 = 40
B. (x + 5)^2 = 40
C. (x+ 5)^2 = 15
D. (x+ 10)^2 = 15​

Respuesta :

Answer:

B

Step-by-step explanation:

Given

x² + 10x = 15

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(5)x + 25 = 15 + 25, that is

(x + 5)² = 40 → B

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Answer:

[tex]\boxed{ (x + 5)^2 = 40}[/tex]

Step-by-step explanation:

[tex]x^2 + 10x= 15[/tex]

[tex]ax^2 +bx=-c[/tex]

Add [tex](\frac{b}{2} )^2[/tex] on both sides.

[tex](\frac{10}{2} )^2 =5^2 =25[/tex]

[tex]x^2 + 10x+25= 15+25[/tex]

[tex]x^2 + 10x+25= 40[/tex]

Factor left side of the equation.

[tex](x + 5)^2 = 40[/tex]

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