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Find the values of k for which the equation (2k-3)x^2-kx+(k-1) has equal roots

We know that an equation has equal roots if the sqrt(b^2-4ac) term in the quadratic equation is equal to zero. Therefore using this information we can form an expression for k to be (-k)^2-4(2k-3)(k-1)=0. Fr...
EH
Answered by Eliott H. • Maths tutor
13791 Views

Earth is being added to a pile so that, when the height of the pile is h metres, its volume is V cubic metres, where V = (h6 + 16) 1 2 − 4.Find the value of dV/dh when h = 2.

As V=(h 6 +16) 1/2 -4 , the chain rule can be used to calculate dV/dh. dV/dh=3h 5 (h 6 +16) -1/2 h=2 can be substituted in to find the solution. 3 2 5 (2 6 +16) -1/2 =10.73
LK
Answered by Lewis K. • Maths tutor
6676 Views

Work out 51% of 400?

51/100 * 400 = 51/100 * 400/1 = 51/1 * 4/1 = 204
TT
Answered by Thana T. • Maths tutor
6233 Views

There are a total of 50 apples and pears (apples + pears) in a large basket. If the total number of apples was doubled and the total number of pears was tripled, these two numbers would add up to 130. How many apples and pears are in the basket?

Solve this simultaneously. Where a= apples and p= pears, a+p=50 and 2a+3p=130 Multiply a+p=50 by 2 on both sides to get: 2a+2p=100 Then subtract the two equations from each other: 2a+3p=130 2a+2p=100 -------...
CB
Answered by Christopher B. • Maths tutor
3762 Views

Differentiate implicitly with respect to x the equation x^3*y^5+3x=8y^3+1

3x 2 y 5 +5x 3 y 4 y'+3 = 24y 2 y' 3x 2 y 5 +3 = (24y 2 –5x 3 y 4 )y' y' = (3x 2 y 5 +3) / (24y 2 –5x 3 y 4 )
NG
Answered by Nora G. • Maths tutor
2228 Views