WebMar 22, 2006 · b)For what values of the constant p does f have 3 distinct roots? c)Find the value of p such that the average value of f over the closed interval [-1,2] is 1. For a), I found the derivative, which is f'(x)=(3x^2)-12x. I set that equal to 0, which gives me x=0,4. I put these values back into the original equation and got f(0)=o and f(4)=-32. WebSep 19, 2024 · We have: 3xp(4x2p+3 + 2x3p−2) = 12x12 + 6x10. ∴ 3xp × 4x2p+3 +3xp ×2x3p−2 = 12x12 +6x10. ∴ 12xp+(2p+3) + 6xp+ (3p−2) = 12x12 +6x10. ∴ 12x3p+3 + 6x4p−2 = 12x12 + 6x10. Compare coefficients of x12 and x10 then: x12:3p +3 = 12 ⇒ p = 3. x10:4p −2 = 10 ⇒ p = 3. And so with p = 3 both indices on the LHS are simultaneously ...
Find the values of p and q such that 4x^2+12x=4 (x+p)^2-q
WebFind one such root by trying out all the integer values, starting from the smallest by absolute value. If no integer roots are found, try out fractions. x^{3}+4x^{2}-7x-10=0 WebExample 1 Determine if the value 3 is a solution of the equation. 4x - 2 = 3x + 1. Solution We substitute the value 3 for x in the equation and see if the left-hand member equals the right-hand member. 4(3) - 2 = 3(3) + 1. 12 - 2 = 9 + 1. 10 = 10. Ans. 3 is a solution. The first-degree equations that we consider in this chapter have at most one ... effie luree cowman 1901
Find the values of p and q such that 4x^2+12x=4(x+p)^2-q
WebHere you will learn how to complete the square on a quadratic expression. Remember, you need to find the values of p and q so that quadratic is the form (x+p... WebA polynomial is a mathematical expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, and multiplication. Polynomials are often written in the form: a₀ + a₁x + a₂x² + a₃x³ + ... + aₙxⁿ, where the a's are coefficients and x is the variable. WebUnderstand the how and why See how to tackle your equations and why to use a particular method to solve it — making it easier for you to learn.; Learn from detailed step-by-step explanations Get walked through each step of the solution to know exactly what path gets you to the right answer.; Dig deeper into specific steps Our solver does what a calculator … contents of general haematology