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Solve the following quadratic inequality: 6x^2 -x -35 < 0

Begin by factorisation: (3x+7)(2x-5) < 0 Then determine which values of x give 0 -7/3 and 5/2Draw a sketch of the graph Y intercept = -35Then determine where less than 0 - under x axis. Reach -7/3<x...

Answered by Luke Y. • Maths tutor

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Three forces of magnitude 50N, PN, QN all act in a horizontal plane in equilibrium. The diagram shows the forces. DIAGRAM: QN = EAST, 50 = SOUTH, PN = 120 DEGREES ANTICLOCKWISE FROM QN a) Find P. b) Find Q.

a) Resolving vertically: Pcos(120-90)=50. Find P from this equation.b) Resolving horizontally: Psin(120-90)=Q. Find Q from this solution.

Answered by Chloe J. • Maths tutor

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Integrate x^2 + 1/ x^3 +3x +2 using limits of 1 and 0

By noticing the the numerator (x^2 + 1) is similar to the derivative of the denominator (x^3 +3x +2) you can integrate the function by using natural logarithms, to form the logarithm ln( x^3 +3x +2). Howe...

Answered by Aaron T. • Maths tutor

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Why is (x^3 - 7x^2 +13x - 6) divisible with (x-2)?

If we look at the general form a polynom P(X) divides Q(x) if and only if Q(x) = P(x) * T(x).Assume P(x) = a_nxⁿ + a_n-1x^n-1 + ... + a₁x + a₀

Answered by Vlad-Mihai E. • Maths tutor

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Complete the square for x^2 + x - 6.

First, let us separate the constant term and complete the square for (x^2 + 1x).
x^2 + x - 6 = (x^2 + x) - 6
Now, let us halve the coefficient of x.
0.5 of +1 = +0.5
Write (x )^2 with ...

Answered by Larra T. • Maths tutor

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