What is/are the value/s of k if the roots of X2 + x + k = 4 are equal?

Q: 5. Solve 6cos2x - 5sinx - 2 = 0 on the interval x € [0,2π]

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Q: The polynomial + ax 3x+ hx 2 has roots -1 and 2. one of which is a triple root. Find the values of a…

A: There are two possible case, checking one by one both to know which is the possible case as in next…

Q: How do I complete the square on thsi following polynomial: x2-6x+12-y=0 To end up with:…

A: x2-6x+12-y=0 cannot be expressed as (x-3)2+4-y=0 because (x-3)2+4-y=0 when expanded will give…

Q: Find the root of 4x³ +3x² + 2x +11 over the interval [-2,–1].

A: We will find out the required root.

Q: 4. Find all the solutions x of 1 Ax 1 ||

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Q: Define the Consequence for Root Finding?

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Q: 7+8/3n – 1|> - il2-1

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Q: is a solution of 2x-6x2+7x-33D0. 2 Prove that x 1-

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Q: What are the roots of g(x)=x^2(x+4)^4(x-6)

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Q: O solve over all real numbers. 6. cotxsin2x = 5cotx

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Suppose that x and y are real numbers such that y is 6 greater than x. What is the smallest possible…

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Q: How can I prove if i^2 = Square root -1 is true or false

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Q: Show that V12 is irrational

A: A Rational Number is a number that can be written in terms of P/Q.  An irrational number can not be…

Q: Then solve for u. 20

A: As per our Guidelines have to ansewr only first question only kindly repost the question thankyou..

Q: If X is a positive number such that : X² – 10X = 9VX Then X – VX = ?

A: given:x2-10x=9xsquaring both the sides:x4-20x3+100x2=81xwe get x=0, x=1, x=19±372.but for the…

Q: Is the equation( e^2x) + (xcosx) +(-2) =0 has real roots ?

A: Using mean value theorem for continuous functions

Q: Prove that the cubic root of 5 is irrational.  Please show all steps. Thank you!!!

A: Let us suppose that cube root of 5 is rational. Let 53=pq where p and q are positive integers and…

Q: How do you prove the cube root of two is irrational?

A: this prove done by contradiction

Q: What is the nine roots of -256-j256√3

A: We will find the nine roots of the complex number -256-j2563 . First, find the polar form of…

Q: Solve for x. 5+ In (x – 2) = 4 Do not round any intermediate computations, and round vour answer to…

A: Finding x

Q: Determine one real root of 2xcos2x - (x - 2)² = 0 on the interval (2, 3). How many number of…

A: Given that 2xcos2x-(x-2)2=0. The objective is to determine one real root of the equation on the…

Q: How many positive integer solutions are there of the equation x+y+z=5?

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Q: ship is headed due north at a constant 15 miles per hour. Because of the ocean current, the true…

A: Answer : current direction 27.06°.

Q: x² - 6x + 5 = 0

A: Acoording to question,Given equation,x2 -6x +5 = 0

Q: Find the roots of x^2 + (k^2+1/k) x + 1 = 0

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Q: prove using the IVT. 2x + 3x = 4x has a solution.

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Q: Prove that - A quadratic equation cannot have more than 2 roots Please don't copy from any other…

A: Consider a quadratic equation ax2+bx+c=0,  a≠0 The above equation can be rearranged as, ax2+bx+c=0…

Q: Determine one real root of 2xcos2x – (x – 2) = 0 on the interval (2, 3). How many number of…

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Q: If g(x) = f(r²), then g(-3) =

A: We find g'(x) using the chain rule

Q: 2. Determine one real root of 2xcos2x – (x – 2) = 0 on the interval (2, 3). How many number of…

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Q: Find the root using Regula Falsi Method (show your table) x^2-6x+9=0   Ans. x=3

A: Regula falsi method or false position is a numerical method to solve equations in one unknown. This…

Q: Solve: 3ln( -1)-In(t +1)?

A: We need to simplify the given expression. 3lnt2-13-lnt+1

Q: find a real root of equations following: 1- x³+x-5=0 2- x³+x-1=0, X°=1 3- x³+4x-2=0, ɛ =0.0001

A: To find- Real roots of the equation.

Q: Can you tell me if I'm getting the right answers for -7π/4? Also, what am I supposed to say for the…

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Q: 10. Which of the following are roots of x3- 3x²– 45x-81? -3 and 9 -4 and 8 -2 and -1 -1 and 9

A: Simplification

Q: Show that V3 +2/6 is an irrational number.

A: A rational number can be represented as pq, where p, q are integers and q≠0. If a number can not be…

Q: Solve 5sin(2β) - 9cos(β) = 0 for all solutions 0 ≤ β < 2π β = ????

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Q: Establish that square root 2 is a rational number

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Q: Express as a polynomial. (3u - 1)(u + 2) + 7u(u + 1)

A: Given expression: 3u-1u+2+7uu+1

Q: Solve 7sin(2x) - 2cos(x) = 0 for all solutions 0 ≤ x < 2π x = ????

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Q: Solve for x using natur 1) 5x-2 = 33x+2

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: How many solutions are there to the equation x₁ + x₂ + x3 = 22, if each x, is a positive integer?…

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Q: Calculate the number of the real roots for f(x) = 44x° + 17x³ + 44x – 20 using Rolle's Theorem.…

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Q: 3. Let 7, r, and r, be the roots ofx' +3x-5x-4= 0, construct the equation whose roots are: 7(r, +r3…

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Q: If x is a n-700 as a. always b. real number Sometimes never such that 1x11, then x" -> -0

A: We want to find correct answer.

Q: ues of p will 3x(4x+3)=-p have non-real root

A: Given Equation 3x4x+3=-p The value of p is found such that the equation has a non-real root.

Q: show equation has at least one solution on the indicated interval1/x+1 = x^2-x-1 on (1,2)

A: We have been given a nonlinear equation and we are supposed to show that the given equation has at…

Q: If 1 is one root of the equation kx⁴ + (2k + 5)x³ + (3 – k) = 0, then the value of k is   A. 1 B. -4…

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