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How do I find roots of a quadratic equation when I can't factorise?

When factorising isn't working, we can try using the quadratic formula. First, we need our quadratic equation and find a,b and c - the coefficients of x and the constant. Now, we can write out the quadratic ...
FD
Answered by Freya D. • Maths tutor
4209 Views

It is given that sin(x) = 1/2. Find the value of sec(x)

x = 30ºcos(30) = √3/2sec(30) = 2/√3 or 2√3/3
AH
Answered by Alex H. • Maths tutor
3445 Views

Show that cosh(x+y) = cosh(x)cosh(y) + sinh(x)sinh(y)

RHS: cosh(x)cosh(y) + sinh(x)sinh(y) = 1/4(e^x + e^-x)(e^y + e^-y) + 1/4(e^x - e^-x)(e^y - e^-y) = 1/4(e^x.e^y + e^x.e^-y + e^-x.e^y + e^-x.e^-y + e^x.e^y - e^x.e^-y - e^-x.e^y + e^-x.e^-y) = 1/4(2e^x.e^y + ...
AH
Answered by Alex H. • Maths tutor
6833 Views

Describe the process of natural selection.

Within any population, there is naturally variation between organisms because they all have differences in their genes. The organisms that are best suited to the environment that they live within are most li...
OA
Answered by Ollie A. • Biology tutor
7205 Views

“Terror rather than solid achievement allowed the Nazis to maintain their authority between 1933 and 1939.” How accurate is this view?

The Nazi party used terror to consolidate power between 1933 and 1939. A primary aspect of this was the SA. The SA were vital to the consolidation of power until 1934 especially after the merging of the Stah...
MC
Answered by Molly C. • History tutor
1641 Views