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x=-b+-sqrt(b^(2))
Algebra 1
Assignment
Solve each equation with th

2n^(2)=-9n+126

-2n

-2n^(2)

-2n^(2)-9n+126=

$x=-b \pm \sqrt{b^{2}}$ $\newline$ Algebra $1$ $\newline$ Assignment $\newline$ Solve each equation with th $\newline$ $1$ ) $2 n^{2}=-9 n+126$ $\newline$ $-2 n$ $\newline$ $-2 n^{2}$ $\newline$ $-2 n^{2}-9 n+126=$

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Write a quadratic function from its x-intercepts and another point

Full solution

Q.

x=-b \pm \sqrt{b^{2}}

\newline

Algebra

1

\newline

Assignment

\newline

Solve each equation with th

\newline

1

)

2 n^{2}=-9 n+126

\newline

-2 n

\newline

-2 n^{2}

\newline

-2 n^{2}-9 n+126=

Move Terms to One Side: Move all terms to one side to set the equation to zero. $2n^2 + 9n - 126 = 0$
Factor the Equation: Factor the quadratic equation. $\newline$ $(2n - 14)(n + 9) = 0$
Set Equal and Solve: Set each factor equal to zero and solve for $n$ . $2n - 14 = 0$ or $n + 9 = 0$
Solve for $n$ : Solve $2n - 14 = 0$ . $\newline$ $2n = 14$ $\newline$ $n = 7$
Final Solutions: Solve $n + 9 = 0$ . $\newline$ $n = -9$

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