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Show that n²-n-90=0

FULL QUESTION: here are n sweets in a bag. Six of the sweets are orange. The rest of the sweets are yellow. Hannah takes a sweet from the bag. She eats the sweet. Hannah then takes at random another sweet fr...
VM
Answered by Vihaan M. • Maths tutor
10783 Views

Write x^2 – 10x + 12 in the form (x – a)^2 + b , where a and b are integers.

This is a past exam question from a real GCSE paper, and is an example of "completing the square." I will show you 4 steps for answering this question. ¬¬¬ The first step is to check whether the x^...
EY
Answered by Emily Y. • Maths tutor
27859 Views

A particle of mass 0.25 kg is moving with velocity (3i + 7j) m s–1, when it receives the impulse (5i – 3j) N s. Find the speed of the particle immediately after the impulse.

In order to answer this question, we must first understand the concept of impulse. When a force acts on an object, its momentum is being changed, and this change is defined as the impulse. Put simply, Impuls...
AM
Answered by Aashish M. • Maths tutor
8548 Views

Find the slope of the line perpendicular to the line y = (1/5)x - 2

Two lines are perpendicular if the product of their slopes is equal to -1. m1 x m2 = -1 The slope of the given line is equal to 1 / 5. If m is the slope of the line perpendicular to the given line, then m1 x...
AS
Answered by Anas S. • Maths tutor
3257 Views

The quadratic equation 2x^2 + 6x + 7 = 0 has roots A and B. Write down the value of A + B and the value of AB

Upon being told to find the roots of a quadratic we should investigate the various different ways of finding these roots. With experience you will learn to be able to find roots without many calculations usu...
KD
Answered by Killian D. • Maths tutor
9909 Views