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BECE Mathematics 2016 Paper

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Question : 20

Total: 40

Given that

t=p^2+1

p

t=10

$3.0$
$4.5$
$11.0$
$81.0$

Solution:

Concept:

Substitute the given value of

t

into the equation and solve for

p

.

Explanation:

We are given

t = p^2 + 1

and

t = 10

.

Replace

t

with

10

in the equation.

10 = p^2 + 1

Subtract

1

from both sides.

10 - 1 = p^2

9 = p^2

Since

9 = 3 \times 3 = 3^2

, we get

p^2 = 3^2

.

Therefore,

p = \pm 3

.

From the given options, the positive value

3.0

is the correct choice.

Answer:

p = 3.0

Option A.

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