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How do you factorise the algebraic expression x^2 +5x+ 6?

Factorising is all about writing algebraic expressions using brackets, to separate x terms.(x + ... )(x +... ) when multiplying out the brackets there will be an x 2 term, an x term and a numerical term. Bre...
JC
Answered by Jessica C. • Maths tutor
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Find the values of x given the equation (4x^2)-3x+1=2 using the quadratic formula.

4x 2 -3x+1=2The first step is to rearrange the equation, equating it to zero: 4x 2 -3x+1-2=0 which gives 4x 2 -3x-1=0. Next we apply the quadratic formula: x=(-b +/- sqrt(b 2 -4ac))/2a where a=4, b=-3 and c=...
SM
Answered by Shahnaan M. • Maths tutor
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Expand (t+5)(t-2)

FOIL stands for First,Outer,Inner and Last. This is the order of multiplying the terms from each set of brackets.First terms give: t x t=t 2 Outer terms give: t x -2=-2tInner terms give: 5 x t=5tLast terms g...
OS
Answered by Ollie S. • Maths tutor
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How do you solve inequalities when you have two inequality symbols in the expression, e.g. 4x - 6 < 14 < 3x + 2

So to tackle this question you have to imagine 4x + 6 &lt; 14 &lt; 3x - 2 as two separate inequalities.4x - 6 &lt; 14 and 14 &lt; 3x + 2 This still means the same thing but we have simplified it by looking a...
AP
Answered by Alice P. • Maths tutor
4138 Views

Solve the simultaneous equations 3x - y = 5, x + 2y = -3

3x - y = 5 (A), x + 2y = -3 (B),6x - 2y = 10 (2A) ,7x + 2y +- 2y = 7 (2A) + (B),7x +2y - 2y = 7,7x = 7,x = 1,Sub x=1 -&gt; (A),3(1) - y = 5,3 - y = 5,-y = 2,y = -2 ,x = 1, x= -2
JC
Answered by Jessica C. • Maths tutor
5505 Views