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Solve: 3^(x^2-5x+2)=9^(x+1)

Considering that: 9=3^2. We get: 9^(x+1)=3^2*(x+1)= 3^(2x+2). We thus solve x^2-5x+2=2x+2 which is x=0 and x=7 it will be demonstrated with more detail during the session
PV
Answered by Petros V. • Maths tutor
3393 Views

Prove that 12 cos(30°) - 2 tan(60°) can be written as √k where k is an integer, state the value of k.

Conversion of trigonometric functions: cos(30°) = √3 / 2 tan(60°) = √3 Computing equation with trigonometric substitutions: 12 cos(30°) - 2 tan(60°) = 12 (√3 / 2) - 2 (√3) = (12 / 2) x √3 - 2√3 = 6√3 - 2√3 =...
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Answered by Nic D. • Maths tutor
8410 Views

How do you know when to use sin, cos and tan?

First draw the triangle and label all the information you have as well as the unknown angle or side length. There should be at least one angle labelled with some informtion - use this angle to label the oppo...
AW
Answered by Anna W. • Maths tutor
116050 Views

Expand and simplify the expression (x+5)(x+8).

This question is about multiplying two brackets together. There are two parts to each bracket: x , +3 and x , +5 . The parts in the first bracket must each be multiplied by both parts in the second bracket. ...
JC
Answered by Jamie C. • Maths tutor
19104 Views

What does it mean to "complete the square"?

Completing the square is a useful method of rearranging a quadratic equation so the unknown ("x") only appears in it once. The theory of completing the square tells us that we can take a quadratic ...
CG
Answered by Caitlin G. • Maths tutor
4724 Views