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Solve for x in the following equation using the quadratic formula, completing the square and factoring method: 2x^2-x-1=0

x=-1/2 and x=1

RC
Answered by Ravinder C. Maths tutor
3256 Views

Find the first 3 terms and the sum to infinity of a geometric series with first term, 10 and common ratio 0.2

General form of a Geometric series: a + ar + ar^2 + ar^3 + ar^4 + … First three terms: 10 + 100.2 + 100.2^2 = 10 + 0.2 + 0.04Nth Term of a Geometric Series: ar^n-1 where there are n terms Proof o...

DW
Answered by Daniel W. Maths tutor
6825 Views

Solve the equation 5(2c -3) = 19

Firstly I would try to learn about the students abilities and maybe do an easier linear equations (without brackets) to ensure they have a basic idea how to solve these types of equations. For this questi...

JG
Answered by Jasmine G. Maths tutor
3419 Views

How do you prove the 1^2 +2^2+.....+n^2 = n/6 (n+1) (2n+1) by induction?

There are three simple steps to prove anything by induction.

Step 1: When n=1

12=1

then: 1/6 x 1x (1+1) x (2+1)

=1x2x3/6 =1

Therefore it is true for n=1 

...
VI
Answered by Vaisaalii I. Maths tutor
4235 Views

Express the following as a partial fraction: (4x^2+12x+9) / (x^2+3x+2) .

We first notice that the degree of the numerator is the same as the degree of the denominator so we have an improper fraction which we need to separate into an integer and a proper fraction before we can ...

AP
Answered by Antonia P. Maths tutor
4830 Views

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