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Determine if the Following equality has real roots: (3X^2) - (2X) + 4 = (5X^2) + (3X) + 9, If the equation has real roots, calculate the roots for this equation.

From looking at this equality, we can see that this is a quadratic equation,This is because X² is the highest order term we have in this equation:In order to find the roots of our equality, we ...

Answered by Dylan H. • Maths tutor

2093 Views

How to factorise a quadratic

First, show how to multiply out two brackets, and the structure of such a question.When given a quadratic, such as x^2 + 4x - 32 (x+8)(x-4)to solve this, first making a list of factor...

Answered by Nicole L. • Maths tutor

2084 Views

A new car costs £12,000. It decreases in value by 5% each year for the first 5 years and then increases in value by 2% after that. How much does it cost after 7 years?

12,000 x 0.95^5=9285.37 7-5=2 9285.37x1.02^2=9660.50

Answered by Matilda P. • Maths tutor

2560 Views

Solve algebraically the simultaneous equations, x^2 + y^2 = 25 and y – 3x = 13

First you need to pick a variable to solve for( irrelevant which one is picked) so I will choose to solve y first as in this question it is easier (as y has no coefficient). So make y the subject of the s...

Answered by Benjamin U. • Maths tutor

2401 Views