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Fantom [35]
2 years ago
11

WORDED QUADRATIC EQUATION!!! PLS HELP MOSTLY NUMBER 5 PLS

Mathematics
1 answer:
pav-90 [236]2 years ago
3 0

Answer:

7,11

Step-by-step explanation:

The width is x. x+4= the length. The area is side times side, so it’s

x × (x+4) = 77

We can simplify this to:

x × x + x × 4 = 77

x^2 + 4x = 77

x^2 + 4x - 77 = 0 This is a quadratic equation. So we can solve using the quadratic formula:

x = \frac{-4\pm\sqrt{4^2-4\cdot1\cdot-77}}{2\cdot1} ->

\frac{-4\pm18}{2}

\frac{14}{2} \implies7

That’s the positive solution and that’s x, the width. So the width is 7 and the length is 7+4=11

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