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Maths
GCSE

Solve the quadratic equation x^2 + x - 6 = 0

There are 3 methods for solving quadratic equations;FactorisingThe quadratic equationCompleting the SquareUsing method 1,We observe that 2 and 3 are factors of 6 and that 3 - 2 = 1 so by factoring out we ...

TA
Answered by Thomas A. Maths tutor
3297 Views

The cost of a ticket increases by 10% to £19.25. What is the original cost?

The best way to approach this question is by solving it algebraically. By constructing an equation that links the original cost to the current cost (let original cost be X), this would give you X*(1+10%) ...

RL
Answered by Robin L. Maths tutor
12472 Views

Amber has an unfair coin. The probability of throwing a tail is p. Amber throws the coin twice and the probability of throwing a head and then a tail is 6/25. Heads are more likely than tails. Show that 25p^2-25p+6=0 and find the value of p.

Tree diagramP(Head then tail) = p(1-p)=6/25Solve above equationp=2/5 as heads are more likely than tails.

MS
Answered by Muhammed S. Maths tutor
2693 Views

Simplify fully (3x^2-8x-3)/(2x^2-6x)

First I would look for common factors in either the numerator or the denominator. The denominator has the common factor of (2x) so i would factorise it by 2x in order to give (3x2-8x-3)/(2x)(x-...

JA
Answered by James A. Maths tutor
2927 Views

How do we complete the square with questions involving a number stuck with the x-squared?

Let me show you an example:Complete the square for the following equation....4x2+ 8x - 91) Divide the whole equation by 4, as this is the easiest way to make things simple. It allows us to comp...

DS
Answered by Dhruv S. Maths tutor
2679 Views

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