14.05.2022

The equation 2x2 − 3x + 1 = 0 is in quadratic form. true or false

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09.07.2023, solved by verified expert
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True.

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The equation The equation 2x2 − 3x + 1 = 0 is in quadratic, №18010421, 14.05.2022 21:21 is in quadratic form because it meets the quadratic formula: The equation 2x2 − 3x + 1 = 0 is in quadratic, №18010421, 14.05.2022 21:21.

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Mathematics
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P Answered by Specialist

True.

Step-by-step explanation:

The equation 2x^{2} - 3x + 1 = 0 is in quadratic form because it meets the quadratic formula: Ax^{2} + Bx + C = 0.

Mathematics
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P Answered by PhD
That is when b^2-4ac>0, that is when you have 2 real solutions

alright, so ax^2+bx+c=0

first one:
a=2, b=-7, c=-9
b^2-4ac=(-7)^2-4(2)(-9)=49+72>0, so this has 2 real solutions

2nd one
a=1, b=-4, c=4
b^2-4ac=(-4)^2-4(1)(4)=16-16=0, so this has only 1 real number solution

3rd
a=4, b=-3, c=-1
b^2-4ac=(-3)^2-4(4)(-1)=9+16>0, so this has 2 real number solutions

4th
a=1, b=-2, c=-8
b^2-4ac=(-2)^2-4(1)(-8)=4+32>0, so this has 2 real number solutions

5th
a=3, b=5, c=3
b^2-4ac=(5)^2-4(3)(3)=25-36<0, this has no real soltuions

answer is 1st, 3rd, 4th
those are
0 = 2x2 – 7x – 9
0 = 4x2 – 3x – 1
0 = x2 – 2x – 8

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