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By completing the square, find the values of x that satisfy x^4 -8x^2 +15 = 0

x^4 -8x^2 +15 = 0, we rewrite the equation in square form as (x^2-4)^2 -16 +15 =0 (x^2 -4)^2 = 1 x^2 -4 = ±1 so x^2 = 4±1, (x^2 = 3 or x^2 = 5) Therefore x = {-√3, √3, -√5, √5)

CS
Answered by Callum S. Maths tutor
3385 Views

In what ways does ‘Dr Faustus’ raise the problems of writing a play about knowledge? How does Marlowe attempt to come to terms with these problems?

Knowledge is a subject which often arouses much controversy, as much today as in the Jacobean era. Biblically, knowledge was often associated with overreachers, primarily Eve who commits original sin. Dur...

JH
7663 Views

What is the significance of Margaret Thatcher's entry into the Exchange Rate Mechanism in 1990?

Economic significance: The decision to enter ERM in 1990 was economically detrimental as this occured at a time when the £ was valued too highly compared to the Deutschmark, meaning the exchange rate coul...

HB
Answered by Hubert B. History tutor
3419 Views

Why have UK citizens become disillusioned with politicians and politics in general since the 1940s?

There are two main explanations for this trend:

The 'Demand Side' explanation suggests that people are less engaged with politics because of the citizens themselves; in other words it is not the fa...

HB
Answered by Hubert B. Politics tutor
3475 Views

Find the turning point of the function y=f(x)=x^2+4x+4 and state wether it is a minimum or maximum value.

In order to find turning points, we differentiate the function. Hence we get f'(x)=2x + 4. Setting f'(x)=0 we get x = -2 and inputting this into f(x) we get y = 0 therefore the turning point is (-2,0). To...

BA
Answered by Basim A. Maths tutor
13372 Views

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