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coldgirl [10]
3 years ago
12

Which situation illustrates quadratic equation?

Mathematics
1 answer:
Anna007 [38]3 years ago
4 0

<em>Complete Question:</em>

<em>Which situation illustrates quadratic equation? </em>

<em>a. The length of a rectangular board is 3m longer than its width and its perimeter is 25m. </em>

<em>b. Joey paid at least P2,000 for the shirt and pants.The cost of pants is P700 more than the shirt. </em>

<em>c. A garden's length is 7m longer than its width and the area is 18 square meter. </em>

<em>d. A lot costbP4,000 per square meter and the area is 120 square meters.</em>

Answer:

C.

Step-by-step explanation:

Required

Determine which option answers the question, correctly.

From the list of given options, only option c answers the question correctly.

This is shown below.

Represent

Length with l and Width with w, such that:

l = 7 + w

Area (A) is calculated as thus:

A = l * w

Substitute 7 + w for l and 18 for A.

This gives:

18 = (7 + w) * w

Open Bracket

18 = 7w + w^2

Reorder

w^2 + 7w = 18

Subtract 18 from both sides

w^2 + 7w - 18= 18 - 18

w^2 + 7w - 18= 0

See that the above expression is a quadratic equation.

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