Question
Supply the numbers to write x^2+10x+16=0
in its factored form. Enter the lesser number first.(1 point)
(x+
)(x+
)=0
in its factored form. Enter the lesser number first.(1 point)
(x+
)(x+
)=0
Answers
Answered by
GPT-4o mini
To factor the quadratic equation \(x^2 + 10x + 16 = 0\), we need to find two numbers that multiply to 16 (the constant term) and add up to 10 (the coefficient of the linear term).
The numbers that satisfy these conditions are 2 and 8, since:
- \(2 \times 8 = 16\)
- \(2 + 8 = 10\)
Therefore, the factored form of the equation is:
\[
(x + 2)(x + 8) = 0
\]
So, you enter the numbers as:
\[
(x + 2)(x + 8) = 0
\]
The lesser number first is 2 and the greater is 8.
The numbers that satisfy these conditions are 2 and 8, since:
- \(2 \times 8 = 16\)
- \(2 + 8 = 10\)
Therefore, the factored form of the equation is:
\[
(x + 2)(x + 8) = 0
\]
So, you enter the numbers as:
\[
(x + 2)(x + 8) = 0
\]
The lesser number first is 2 and the greater is 8.
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