Select all the correct locations on the graph. At which points are the equations y = x2 + 5x − 2 and y = x + 1 equal?

An equation is formed of two equal expressions. The correct locations are B and F.
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
To know the point at which the value of the equation will be equal, equate the equation together to find the value of x that will produce the same result. Therefore,
y = y
x² + 5x - 2 = x + 1
x² + 5x - 3 = x
x² + 4x - 3 = 0
[tex]x_{1,\:2}=\dfrac{-4\pm \sqrt{4^2-4\cdot \:1\cdot \left(-3\right)}}{2\cdot \:1}[/tex]
x = -2 ± √7
x = 0.64575, -4.64575
The points at which the equation y=x²+5x−2 and y=x+1 will be equal are points B and F. This is because these two points are the solution of the equation.
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