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6 votes
6 votes
LOT OF POINTS

approximate the solutions to this system.

y = 3x2 + x − 6

y = x − 4

Round your answers to the nearest hundredth.

User Davy Karlsson
by
3.1k points

2 Answers

14 votes
14 votes

Answer:

(x1,y1) = (0.82, - 3.18)

(x2,y2) = (-0.82, -4.82)

Explanation:

Plato gang

User Sheldon Oliveira
by
3.0k points
14 votes
14 votes

Answer:


image

Explanation:

we are given a system of quadratic and linear equation

we want to figure out x and y

in other words the coordinates where the linear function intercept quadrilateral function

to do so

you can use substitution method

since y equals to both equation so substitute:


image

move right hand side expression to left hand side and change its sign so there's only 0 left on the left hand side:


image

simplify addition:


image

add 2 to both sides:


image

divide both sides by 3


image


image

square root both sides:


image

rationalise the denominator by multiplying √3/√3:


image

now let's figure out y

substitute the value of x to the linear equation:


image

when positive


image

when negative


image

LOT OF POINTS approximate the solutions to this system. y = 3x2 + x − 6 y = x − 4 Round-example-1
User AKC
by
3.3k points