Question

What is the solution set of y = x2 2x 7 and y = x 7

Answer 1

Hello,

y=x²+2x+7
y=x+7

==>x²+2x+7=x+7
==>x²+x=0
==>x(x+1)=0
==>(x=0 and y=7) or (x=-1 and y=-1+7=6)

Sol={(0,7),(-1,6)}

Answer 2

Answer:

Given the equation:

$y =x^2+2x+7$ and $y=x+7$

Equate these two equation we get;

$x^2+2x+7 = x+7$

Subtract 7 from both sides we get;

$x^2+2x= x$

Subtract x from both sides we get;

$x^2+x= 0$

or

$x(x+1)=0$

⇒x = 0 and x +1=0

⇒x = 0 and x = -1

Now, find the values of y:

For x  = 0

y=x+7

y = 0+7 = 7

⇒(0, 7)

For x = -1

y=x+7

y = -1+7 =6

⇒(-1, 6)

Therefore, the solution set for the given equations are: (0, 7) and (-1, 6)