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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
7683 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...
PK
Answered by Pantelis K. • Maths tutor
4824 Views

Calculate 8^0

1, any number to the power of 0 is equal to 1
DC
Answered by Dhruv C. • Maths tutor
4994 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 value o...
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Answered by Peter H. • Maths tutor
10629 Views

Make y the subject of (y/x)+(2y/(x+4))=3

We want to make y the subject of the equation and so we need to write it in the form y=f(x) where f(x) is a function in terms of x.When rearranging equations with fractions for a certain subject, factorising...
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Answered by Henry L. • Maths tutor
16707 Views