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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
3019 Views

Describe (both quanititavely and qualitiatively) the energy changes of a ball of mass 0.5kg, dropped from a height of 10m and left to bounce. Make use of the law of conservation of energy.

At the drop height, the ball possesses 0J of Kinetic Energy (KE), and only possesses Gravitational Potential Energy(GPE). From GPE=mgh...GPE=O.5x9.91x10=49.05J. As it drops, its GPE decreases and its KE i...

DM
Answered by David M. Physics tutor
1698 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
7118 Views

What is a gerund?

A gerund is essentially a verbal noun. This means the word comes from the stem of a verb, but acts as a noun in the sentence. e.g. "I like reading". In this sentence, 'reading' is the gerund. In...

FN
Answered by Freya N. Latin tutor
2688 Views

Explain Fiscal Policy?

Fiscal policy refers to the government's use of spending to either stimulate the economy or develop public services, or the government's use of certain means such as taxation to generate revenue. The two ...

HB
Answered by Hubert B. Politics tutor
5033 Views

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