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faltersainse [42]
2 years ago
10

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

Mathematics
1 answer:
Alexandra [31]2 years ago
7 0

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)

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Solve the system by substitution.
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As we know y=3/4x-3
Let's put it in the second equation
3/4x-3=1/4x+1
3/4 x -1/4 x = 1+3
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Put x= 8 in first equation
y= 3/4 *8 -3
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Check the answer
3=3/4 *8 -3
3=6-3
3=3
Correct
So(y, x) = (3,8)
Because x=8 and y=3
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