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find the roots of the equation 7x^2+11x-2=0 in exact form

since the values are too difficult to calculate from factorising, we use the quadratic formula ((-b)±(b^2-4ac)^(1/2))/(2a).putting the values in as (ax^2+bx+c=0) we find the roots in exact form are;(-11+(177...
MP
Answered by Matthew P. • Maths tutor
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What is Wallerstein's World Systems theory?

We can traditionally consider three core models which theorise how the development gap has come to exist. These are: Dependency Theory, Rostow's Modernisation Theory, and Wallerstein's World Systems Theory. ...
IG
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what is differentiation for?

When differentiating you find the gradient of the function/line, this means how fast does the function goes up or down.
RB
Answered by Richard B. • Maths tutor
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Differentiate: y=x^x

First take log’s each side as it would turn our complicated function into something differentiable by chain rule. ln y = x*ln x Then differentiate y with respect to x: d(ln y)/dx = ln x + 1 1/y * dy/dx = ln ...
MV
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Differentiate: ln((e^x+1)/e^x-1))

Chain rule: First resolve the log differential, then resolve the fraction integration either by knowing the formula for it or by writing (e^x+1)/(e^x-1) as (e^x+1)(e^x-1)^(-1) and applying chain rule againLe...
MV
Answered by Mihai V. • Maths tutor
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