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Draw the solution point, or points, for this system of equations. y=2x^2-12x+20 y=2

Sagot :

Answer:

Step-by-step explanation:

hello :

you have this system :      y=2x²-12x+20

                                          y=2

means :   2x²-12x+20 =2

2x²-12x+20-2 =0

2x²-12x-18 =0        a=2  and b= -12   and c= -18

delta = b²-4ac

delta = (-12)²-4(2)(-18)

delta = 0

X1 =X2 = -b/2a =12/4 =3

the solution point is : (3 ; 2)

The graph of the solution point (3, 2) for given system of equations [tex]y=2x^{2}-12x+20,~y=2[/tex] is shown below.

What is system of equation?

"It is s et of equations for which we find the common solution."

For given question,

We have been given a system if equations.

[tex]y=2x^2-12x+20\\\\y=2[/tex]

From given system of equations,

[tex]2x^2-12x+20=2[/tex]

We solve above quadratic equation.

[tex]2x^2-12x+20=2[/tex]

From given system of equations,

[tex]2x^{2}-12x+20=2\\\\x^2-6x+9=0\\\\(x-3)^2=0\\\\x=3[/tex]

This means at point (3, 2) is the solution of the given system of equations [tex]y=2x^{2}-12x+20,~y=2[/tex]

The graph of the solution point (3, 2) for given system of equations [tex]y=2x^{2}-12x+20,~y=2[/tex] is shown below.

Learn more about system of equations here:

https://brainly.com/question/12895249

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