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Anton [14]
3 years ago
9

[3](b)Calculate the values of c for which 2x2 – 3x + c>-2 for all values of x.​

Mathematics
1 answer:
hoa [83]3 years ago
3 0

Answer:

  c > -7/8

Step-by-step explanation:

Add 2 for an inequality that compares to zero:

  2x^2 -3x +(c+2) > 0

This will be true when the discriminant is negative. For the quadratic ...

  ax^2 +bx +c

the discriminant is ...

  b^ -4ac

We want this to be negative:

  (-3)^2 -4(2)(c+2) < 0

  9 -8(c +2) < 0

  9 -8c -16 < 0

  -7 < 8c

  -7/8 < c

The given inequality will be true for all values of c greater than -7/8.

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Step-by-step explanation:

6x³ and (-5x³) are like terms

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Step-by-step explanation:

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