Question
xsquared+3x-54
Answers
GPT-4o mini
It looks like you're working with a quadratic expression. The expression you've written is:
\[
x^2 + 3x - 54
\]
If you want to factor this quadratic expression, we can look for two numbers that multiply to \(-54\) (the constant term) and add up to \(3\) (the coefficient of the linear term \(x\)).
The numbers that meet these criteria are \(9\) and \(-6\), since:
\[
9 \times (-6) = -54
\]
\[
9 + (-6) = 3
\]
Thus, we can factor the quadratic expression as follows:
\[
x^2 + 3x - 54 = (x + 9)(x - 6)
\]
If you want to set this equal to zero to find the roots, you would solve:
\[
(x + 9)(x - 6) = 0
\]
This gives you the solutions:
\[
x + 9 = 0 \quad \Rightarrow \quad x = -9
\]
\[
x - 6 = 0 \quad \Rightarrow \quad x = 6
\]
So the roots of the equation \(x^2 + 3x - 54 = 0\) are \(x = -9\) and \(x = 6\). If you needed something else with this expression, please let me know!
\[
x^2 + 3x - 54
\]
If you want to factor this quadratic expression, we can look for two numbers that multiply to \(-54\) (the constant term) and add up to \(3\) (the coefficient of the linear term \(x\)).
The numbers that meet these criteria are \(9\) and \(-6\), since:
\[
9 \times (-6) = -54
\]
\[
9 + (-6) = 3
\]
Thus, we can factor the quadratic expression as follows:
\[
x^2 + 3x - 54 = (x + 9)(x - 6)
\]
If you want to set this equal to zero to find the roots, you would solve:
\[
(x + 9)(x - 6) = 0
\]
This gives you the solutions:
\[
x + 9 = 0 \quad \Rightarrow \quad x = -9
\]
\[
x - 6 = 0 \quad \Rightarrow \quad x = 6
\]
So the roots of the equation \(x^2 + 3x - 54 = 0\) are \(x = -9\) and \(x = 6\). If you needed something else with this expression, please let me know!