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Find the values of x given the equation (4x^2)-3x+1=2 using the quadratic formula.

4x²-3x+1=2The first step is to rearrange the equation, equating it to zero: 4x²-3x+1-2=0 which gives 4x²-3x-1=0. Next we apply the quadratic formula: x=(-...

Answered by Shahnaan M. • Maths tutor

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Time, T, is measured in tenths of a second with respect to distance x, is given by T(x)= 5(36+(x^2))^(1/2)+4(20-x). Find the value of x which minimises the time taken, hence calculate the minimum time.

To solve this problem we first must look into the given formula for time (T). It is stated, in the question, that the time taken is dependent on distance x. From this we can infer that the following probl...

Answered by Aziz H. • Maths tutor

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Expand (t+5)(t-2)

FOIL stands for First,Outer,Inner and Last. This is the order of multiplying the terms from each set of brackets.First terms give: t x t=t²Outer terms give: t x -2=-2tInner terms give: 5 x t=5t...

Answered by Ollie S. • Maths tutor

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solve this simultaneous equation: 4x+ y = 12 , 2x+ y = 8

4x+ y = 12 , 2x+ y = 81) find the unknown (either x or y) that has the same coefficient. - In this example it is y2) Take away the equations from one another so you only have 1 unknown - 2x = 43) Divide ...

Answered by Natasha S. • Maths tutor

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How do you solve inequalities when you have two inequality symbols in the expression, e.g. 4x - 6 < 14 < 3x + 2

So to tackle this question you have to imagine 4x + 6 < 14 < 3x - 2 as two separate inequalities.4x - 6 < 14 and 14 < 3x + 2
This still means the same thing but we have simplified it by ...

Answered by Alice P. • Maths tutor

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