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8 votes
Solve the system of equations.
y=x+6
y=x^2 + 8x + 16

User Micer
by
6.5k points

2 Answers

6 votes


\huge \underline\frak \red{Answer}


\small\mathbb\green{(-2;4) \: or \: (-5;1)}


\small\mathbb\green{y=x+6}


\small\mathbb\green{y=x²+8x+16}

_____________________________________


\small\mathbb\green{x+6=x²+8x+16}


\small\mathbb\green{x²+8x+16-x-6=0}


\small\mathbb\green{x²+7x+10=0}


\small\mathbb\green{x²+5x+2x+10=0}


\small\mathbb\green{x(x+5)+2(x+5)=0}


\mathbb\green{(x+2) (x+5) = 0}


\small\mathbb\green{x+2=0 \: ➢ \: x¹ = -2}


\small\mathbb\green{x+5=0 \: ➢ \: x² = -5}

_______________________________________


\small\mathbb\green{y¹ = -2+6 \: ➢ \: y¹ = 4}


\small\mathbb\green{y² = -5+6 \: ➢ \: y² = 1}

_______________________________________


\small\frak\pink{Hope \: its \: helpful \: to \: you}

User Josep Espasa
by
7.5k points
5 votes

Answer:

Explanation:

point form: (-2,4) (-5,1)

equation form: x= -2, y=4

x= -5, y=1

User Emmalyx
by
8.7k points

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