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Solve x^2 + x - 2 = 0

(x+2)(x-1)=0 x+2=0x= -2x-1=0x=1

EW
Answered by Emily W. Maths tutor
2686 Views

y = arcsec(x), Find dy/dx.

The key to this problem is to apply sec to both sides, and then differentiate implicitly: sec(y)=x; dsec(y)/dx = 1; tan(y)sec(y)dy/dx = 1; dy/dx = 1/(tan(y)sec(y)). Then using the fact that sec(y)=x and t...

NY
Answered by Nicholas Y. Maths tutor
4088 Views

When solving a trigonometric equation, like sin(x) = -1/3 for 0 ≤ x < 2π, why do I get an answer outside the range? Why are there many correct answers for the value of x?

Drawing the graphs of the trigonometric functions sin, cos & tan, we can see that they all extend along the x-axis to infinity. Indeed, the sin & cos functions move between 1 and -1 on the y-axis,...

AG
Answered by Alexandra G. Maths tutor
8250 Views

How do you solve a simultaneous equation by 'substitution'?

Firstly, demonstrate with an example: Solve: 3x + y = -9 and x2 + 2x - 3 = yRearrange the first equation to get "y" by itself by moving parts of the equation to the other side e.g. y ...

SH
Answered by Sophie H. Maths tutor
2675 Views

What is the length of the hypotenuse of this right angled triangle?

Pythagoras theorem can be used to calculate the length x of the triangle. The length of the hypotenuse is equal to the square root of a2 + b2. When given length a and b, you are able...

CA
Answered by Callum A. Maths tutor
2996 Views

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