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Solve the equation 2X^2 + 5X + 2 = 0 stating clearly the number of roots

Firstly, we can identify 2X 2 + 5X + 2 = 0 as a quadratic equation by the fact it is an X 2 term, an X term and an integer term all within the same equation, and is equal to zero. To solve a quadratic equati...
LP
Answered by Luke P. Maths tutor
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An object's displacement, s metres, from a fixed point after t seconds is s=5t^3+t^2. Find expressions for the object's velocity and acceleration at time t seconds.

Differentiating gives the rate of change and velocity and acceleration are rates of change. Velocity is the rate of change of displacement compared to time and acceleration is the rate of change of velocity ...
SS
Answered by Seeitha S. Maths tutor
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In a sale, an item originally worth £140 is reduced by 15%. What is the new price of the item ?

100-15=85 85/100 x 140 = 11900/100 = £ 119
HS
Answered by Harri S. Maths tutor
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(2x+3)^2

=4x^2+12x+9
MA
Answered by Mohammed A. Maths tutor
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Express 5/(2-sqrt(3)) in the form a + b*sqrt(3)

The first step that needs to be taken is to get rid of the square root from the denominator. This can be done by multiplying the top and bottom of the fraction by 2 + sqrt(3). This gives (10 + 5 sqrt(3))/(4-...
GV
Answered by Guy V. Maths tutor
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