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Factorise and solve x^2 – 8x + 15 = 0

This equation is of the form ax 2 + bx + c = 0 (where a = 1, b = -8 and c = 15). To help solve it, find two numbers that add to give the value of b (the 'sum') and also when multiplied together give the same...
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Answered by Andrew B. • Maths tutor
13053 Views

There are n sweets in a bag, 6 are orange, the rest yellow. Two sweets are taken out individually without replacement. The probability of which is 1/3. show n²-n-90=0

Firstly, you need to consider the type of problem we are dealing with. This is actually just a tree diagram type question. note that the sweets are not replaced. Letting n = number of sweets in the bag. 6 ar...
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Answered by Joel R. • Maths tutor
5071 Views

There are n sweets in a bag. Six of the sweets are orange, the rest are yellow. One sweet is removed from the bag without replacement, then another is removed without replacement. Show that n²-n-90=0

Firstly, you need to consider the type of problem we are dealing with. This is actually just a tree diagram type question. note that the sweets are not replaced. Letting n = number of sweets in the bag. 6 ar...
JR
Answered by Joel R. • Maths tutor
5302 Views

Solve the simultaneous equation: 2x + 3y = 6, 3x + 2y = 5.

1) 2x + 3y = 6 2) 3x + 2y = 5 We can either use substitution or elimination. Using elimination: Multiply equation 1) by 3 and multiply equation 2) by 2. 1) 6x + 9y = 18 2) 6x + 4y = 10 Equation 1) - Equation...
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Answered by Aaquib N. • Maths tutor
18460 Views

Solve the simultaneous equation: 3x+2y=8, 2x+5y=-2?

6x+4y=16, 6x+15y=-6 11y=-22 y=-2 3x=8+4=12 x=4 x=4, y=-2
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Answered by Thomas E. • Maths tutor
15117 Views