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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 the power of quadratic equation in the nume...
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Answered by Pantelis K. • Maths tutor
19586 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 2 In our case, b=8,c=24 Hence our equation, x 2 - 8x + 24= 0 becomes (x + (-8/...
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Answered by Pantelis K. • Maths tutor
7692 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 label the 4 sides. Step 2: We know that the perimeter of a rectangle is equal to the sum o...
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Answered by Pantelis K. • Maths tutor
4833 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)
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Answered by Dhruv C. • Maths tutor
6706 Views

Calculate 8^0

1, any number to the power of 0 is equal to 1
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Answered by Dhruv C. • Maths tutor
5010 Views