Solve the system of equations. y = x^2 + 45x + 4 y = 28x - 38 Write the coordinates in exact form. Simplify all fractions and radicals. (______,______) (______,______)

Set Equations Equal: Set the two equations equal to each other since they both equal y. x^2 + 45x + 4 = 28x - 38Subtract and Add: Subtract 28x and add 38 to both sides to get the quadratic equation. x^2 + 45x + 4 - 28x - 38 = 0 x^2 + 17x - 34 = 0Factor Quadratic Equation: Factor the quadratic equation. (x + 34)(x - 17) = 0

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Solve the system of equations. $\newline$ $y = x^2 + 45x + 4$ $\newline$ $y = 28x - 38$ $\newline$ Write the coordinates in exact form. Simplify all fractions and radicals. $\newline$ (,) $\newline$ (,)

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Math Problems

Algebra 1

Solve a system of linear and quadratic equations

Full solution

Q. Solve the system of equations.

\newline

y = x^2 + 45x + 4

\newline

y = 28x - 38

\newline

Write the coordinates in exact form. Simplify all fractions and radicals.

\newline

(______,______)

\newline

(______,______)

Set Equations Equal: Set the two equations equal to each other since they both equal $y$ . $x^2 + 45x + 4 = 28x - 38$
Subtract and Add: Subtract $28x$ and add $38$ to both sides to get the quadratic equation. $\newline$ $x^2 + 45x + 4 - 28x - 38 = 0$ $\newline$ $x^2 + 17x - 34 = 0$
Factor Quadratic Equation: Factor the quadratic equation. $\newline$ $(x + 34)(x - 17) = 0$