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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/...
PK
Answered by Pantelis K. • Maths tutor
7724 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
4851 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
6717 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
5042 Views

What is the difference between sexual reproduction and asexual reproduction?

Sexual reproduction involves the fusing of 2 gametes (male and female). This results in a variety of offspring as the genetic information is mixed. Asexual reproduction requires only1 parent. Offspring are a...
CT
Answered by Catherine T. • Biology tutor
10671 Views