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How do I find the roots of a quadratic equation?

There are a few methods you can use. Here are two methods: 1) Inspection. Say we have the equation x 2 +4x+3. We can find two numbers which multiply together to make 3 but add together to make 4. Such number...
DE
Answered by Daniel E. • Maths tutor
4089 Views

A circular table top has diameter 140 cm. Calculate the area of the table top in cm² , giving your answer as a multiple of π.

Area of a circle = π r² r = (1/2) d = (1/2) * 140 = 70 area = π * (70)² = 4900 π cm²
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Answered by Sulem M. • Maths tutor
3592 Views

A function is defined parametrically as x = 4 sin(3t), y = 2 cos(3t). Find and simplify d^2 y/dx^2 in terms of t and y.

We first need to find dy/dx and we use the fact that dy/dx = dy/dt * dt/dx. So we have dy/dt = -6 sin(3t) and dx/dt = 12 cos(3t). Substituing these in we have dy/dx = -6*sin(3t) 1/(12 cos(3t) which simplifie...
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Answered by Barnaby S. • Maths tutor
7013 Views

Expand and simplify 2y+3y(5y+3)

Following the laws of BIDMAS, the bracket needs to be multiplied first (instead of adding 2y and 3y first): 2y + 15y 2 + 9y Simplify by addition of the y's: 15y 2 + 11y Optional: simplify further by grouping...
LJ
Answered by Lucy J. • Maths tutor
5147 Views

Solve 2x + 4 > 16

This is a simple GCSE inequality question. The aim is to solve the equation for x - get x on its own on the left side of the equation. Step 1. We think of equations as balanced weighing scales, so whatever w...
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Answered by Monique P. • Maths tutor
8134 Views