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antiseptic1488 [7]
2 years ago
11

PLEASE HELP ASAP!!

Mathematics
1 answer:
Elza [17]2 years ago
7 0

Answer:

The parabolic equation does not intersect the linear equation.

Explanation:

Given equation's:

  • y = x² − 5x + 9
  • y = -2x

To solve , use substitution method by inserting 2nd equation into 1st

\sf y = x^2 - 5x + 9

when substituted y = -2x

\sf -2x = x^2 - 5x + 9

collect terms

\sf  x^2 - 5x+ 2x + 9=0

simplify

\sf  x^2 - 3x + 9=0

Find discriminant:

\sf b^2 - 4ac

\sf (-3)^2 - 4(1)(9)

\sf -27

As the discriminant is negative, it tell us that they both does not intersect each other.

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