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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 ...

Answered by Pantelis K. • Maths tutor

7006 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...

Answered by Pantelis K. • Maths tutor

4450 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)

Answered by Dhruv C. • Maths tutor

6352 Views

Calculate 8^0

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

Answered by Dhruv C. • Maths tutor

4336 Views

Solve the simultaneous equations 5x+2y=11 and x-y=-2.

Simultaneous Equations are equations involving 2 or more unknowns that are to have the same value in each equation. The aim is to eliminate all except one unknown which will then allow us to find the v...

Answered by Peter H. • Maths tutor

9963 Views