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Express (3x^2 - 3x - 2)/(x-1)(x-2) in partial fractions

Step 1:

When asked to exrpess something in partial fractions, we first compare the power of the numerator to the power of the denominator.

In our case we have that th...

PK
Answered by Pantelis K. Maths tutor
18917 Views

Find the roots of the quadratic equation, x^2 - 8x + 24 = 0, by completing the square.

Step 1:

The fisrt step is to use the following formula when asked to complete the square,

( x + (b/2) )2 - (b/2)2 + c = 0

Step ...

PK
Answered by Pantelis K. Maths tutor
7194 Views

Suppose you are given a rectangle where the length is equal to 2x+4 and its width is equal to 3x-2. Assuming that the perimeter is equal to 54 cm, what's the value of x?

Step 1:

For a rectangle, we know that opposite sides are equal

Hence we use this information to draw a rectangle and lab...

PK
Answered by Pantelis K. Maths tutor
4563 Views

Solve the equation (2 cos x) = (sin 2 x) , for 0 ≤ x ≤ 3π .

cos x = 0, sin x = 1, solved using trigonometric identities. 3(pi) means 3/2 times round a the circle, therefore using graphs answer is pi/2, 3(pi/2), 5(pi/2)

DC
Answered by Dhruv C. Maths tutor
6427 Views

Calculate 8^0

1, any number to the power of 0 is equal to 1

DC
Answered by Dhruv C. Maths tutor
4494 Views

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