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Leno4ka [110]
3 years ago
7

What is the expression in factored form x^2+13x+42

Mathematics
2 answers:
omeli [17]3 years ago
8 0
The correct answer is (x+6)(x+7). Great job.
Sveta_85 [38]3 years ago
8 0

we have

x^{2} +13x+42

Find the factors

Equate the equation to zero

x^{2} +13x+42=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

x^{2} +13x=-42

Complete the square. Remember to balance the equation by adding the same constants to each side

x^{2} +13x+6.5^{2}=-42+6.5^{2}

x^{2} +13x+42.25=-42+42.25

x^{2} +13x+42.25=0.25

Rewrite as perfect squares

(x+6.5)^{2}=0.25

Square root both sides

(x+6.5)=(+/-)\sqrt{0.25} \\ \\x+6.5=(+/-)0.50 \\ \\x=-6.5(+/-) 0.50

x1=-6.5+0.50=-6

x2=-6.5-0.50=-7

therefore

<u>the answer is</u>

(x+6)(x+7)

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