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How do you factorise the following quadratic: x^2 - 5*x - 14?

An example of an application of factorising quadratics is to find the unknown in the equation, x. Factorising means writing the above equation in the form (x+a)(x+b)=0 Using FOIL (First, Outer, Inner, Last) ...
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Answered by Emma P. • Maths tutor
4367 Views

Solve x^4+2x^2-3=0

The trick with this question is noticing the hidden quadratic as quartic equations are unsolvable at A-level. Letting u=x^2 the question becomes u^2+2u-3=0 which most students would be able to solve. To fact...
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Answered by Ben S. • Maths tutor
7811 Views

How to solve simultaneous equations with a quadratic

Example. " Solve the simultaneous equations y + 4x + 1 = 0 y^2 + 5x^2 + 2x = 0 " We can rearrange the first equation to something that we can substitute into the second equation, for example y = -4...
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Answered by Tilly W. • Maths tutor
3783 Views

Solve: 3^(x^2-5x+2)=9^(x+1)

Considering that: 9=3^2. We get: 9^(x+1)=3^2*(x+1)= 3^(2x+2). We thus solve x^2-5x+2=2x+2 which is x=0 and x=7 it will be demonstrated with more detail during the session
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Answered by Petros V. • Maths tutor
3460 Views

Prove that 12 cos(30°) - 2 tan(60°) can be written as √k where k is an integer, state the value of k.

Conversion of trigonometric functions: cos(30°) = √3 / 2 tan(60°) = √3 Computing equation with trigonometric substitutions: 12 cos(30°) - 2 tan(60°) = 12 (√3 / 2) - 2 (√3) = (12 / 2) x √3 - 2√3 = 6√3 - 2√3 =...
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Answered by Nic D. • Maths tutor
8505 Views