Find the values of k for which the equation (2k-3)x^2 - kx + (k-1) = 0
A quadratic equation has two equal roots when its discriminant is equal to 0. Calculating the discriminant of the given equation: D = k2 - 4(k-1)(2k-3) = k2 - 8k2+20k-12 = -7k2+20k-12=0 Solving this equation for k: 7k2-20k+12=0 D = 100-84 = 16 k1,2=(10+-4)/7 => k = 6/7, k=2
KP
Related Maths A Level answers
All answers ▸The point A lies on the curve with equation y=x^0.5. The tangent to this curve at A is parallel to the line 3y-2x=1 . Find an equation of this tangent at A. [5 marks]
Using the limit definition of the derivative, find the derivative of f(x)=sin(3x) at x=2π
A block of mass 5kg is on a rough slope inclined at an angle of 30 degrees to the horizontal, it is at the point of sliding down the slope. Calculate the coefficient of friction between the block and the slope.
Use the substitution u = cos 2x to find ∫(cos^2*(2x) *sin3 (2x)) dx