Answers>Maths>IB>Article

Let f(x) = px^2 + qx - 4p, where p is different than 0. Showing your working, find the number of roots for f(x) = 0.

Δ = b² - 4ac = q² - 4p (-4p) = q² + 16p²p different than 0 => 16p² greater than 0 onlyq² greater or equal to 0q² + 16p² > 0 => f has two (2) roots

Answered by Hristo S. • Maths tutor

5164 Views

See similar Maths IB tutors

Related Maths IB answers

All answers ▸

Find the cube roots of i in the form a+bi, where a, b are real numbers.

Let f (x) = sin(x-1) , 0 ≤ x ≤ 2 π + 1 , Find the volume of the solid formed when the region bounded by y =ƒ( x) , and the lines x = 0 , y = 0 and y = 1 is rotated by 2π about the y-axis.

Let f(x) = px^2 + qx - 4p, where p is different than 0. Showing your working, find the number of roots for f(x) = 0.

Related Maths IB answers

Find the cube roots of i in the form a+bi, where a, b are real numbers.

Let f (x) = sin(x-1) , 0 ≤ x ≤ 2 π + 1 , Find the volume of the solid formed when the region bounded by y =ƒ( x) , and the lines x = 0 , y = 0 and y = 1 is rotated by 2π about the y-axis.

f(x)=sin(2x) for 0<x<pi, find the values of x for which f is a decreasing function

Find the derivative of the next function using the implicit method: x^2 sin(x+y)-5 y e^x=0

Let f(x) = px^2 + qx - 4p, where p is different than 0. Showing your working, find the number of roots for f(x) = 0.

Related Maths IB answers

Find the cube roots of i in the form a+bi, where a, b are real numbers.

Let f (x) = sin(x-1) , 0 ≤ x ≤ 2 π + 1 , Find the volume of the solid formed when the region bounded by y =ƒ( x) , and the lines x = 0 , y = 0 and y = 1 is rotated by 2π about the y-axis.

f(x)=sin(2x) for 0<x<pi, find the values of x for which f is a decreasing function

Find the derivative of the next function using the implicit method: x^2 sin(x+y)-5 y e^x​​​​​​​=0

Find the derivative of the next function using the implicit method: x^2 sin(x+y)-5 y e^x=0