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solve the inequality x^2+4x-21>0

First we should try and factorise the polynomial the brackets will be (x+?) and (x-?) as the coefficient of x and the -21 have differing signs.just thinking of the factors of 21 we can see that 7-3 = 4 th...

Answered by Jake L. Maths tutor
3726 Views

How do you calculate the angle between two vectors?

The formula axb = |a||b|sinθ is given in the formula bookletTherefore, θ, the angle between both vectors a and ...

Answered by Gabriel Thomas N. Maths tutor
3590 Views

How do you factorize a quadratic when a ≠ 1 when ax²+bx+c=0

First check if a, b and c all have a common factor.For example, if we have 3x²+6x+3=0, we can divide both sides by 3 and get x²+2x+1=0, which is easier to solve.If a,b and c do not all have a common facto...

Answered by Gabriel Thomas N. Maths tutor
3605 Views

How do you integrate by parts?

Using the formula (given in the formula booklet):∫ u(dv/dx) dx = uv − ∫ v(du/dx) dxFor example if we want to integrate ∫xsin(x) we can take x to be u and sin(x) to be (dv/dx).So ∫ xsin(x) dx = x(-cos(x)) ...

Answered by Gabriel Thomas N. Maths tutor
1085 Views

Solve the simultaneous equation by elimination: 3x + y = 11 and 5x + y = 4

Simultaneous equations have at least two unknowns that must have the same value in each equation. This means the value of x and y in both equations must...

Answered by Moyin A. Maths tutor
3491 Views

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