The tangent line at (2, 4) to the curve y = x3−3x+2 meets the x-axis at

dydx=3x2-3=3x2-1dydxx=2=3(4-1)=9Equation of tangent at (2, 4) isY – 4 = 9(X – 2)This meets x-axis if Y = 0 ⇒  -49=X-2  ⇒  X=2-49=149