Find p so that  x2 - 6x + p = 0  has one root (i.e. is a perfect square)

Q: The vertex of the parabola f(x)= x2 + 16x + 6 is 0(-16,-40) O (-8,-52) O (-24,-58) O (-16,-58) O…

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Q: (a) Factorise z° + 1 over the real numbers.

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Q: give all the possible roots of x4+2x3-7x2-8x+12

A: Give all the possible roots of x4+2x3-7x2-8x+12

Q: B. Find the value of k that makes x2 + (k + 5)x + (5k + 1) a perfect square.

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Q: Q1: using the Bairstow's method to find a complex root for f(x) = 50 - 8x - 62x + x*, where (x2) is…

A: Since you've asked multiple questions, as per the answering guidelines we are supposed to answer the…

Q: Find a quadratic form of the type in Theorem 1 that is equivalent to the given quadratic form. ) 2x?…

A: Note:- In this problem, you don't mention the type  of quadratic form in Theorem 1. So, you can…

Q: The product rule for square roots states that if a and b are nonnegative, then Vab =

A: Product rule for simplifying square root: If a and b are non negative then  ab=ab

Q: Show that the equation x4 + 4x + c = 0 has at most two real roots

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Q: Give the three main results of the characteristic-root test for the definiteness of the quadratic…

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Q: The vertex of the parabola f(x) = x2 + 20x + 3 is О (-30, -97) O (-20,-97) о (-20,-20) О (-10, -94)…

A: Given Parabola is y=f(x)=x2+20x+3 find the vertex of the parabola

Q: Determine all the roots of z8 - 2z* +1 = 0

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Q: 4. Determine the sum and the product of the roots of 3x2 11x – 6. %3D

A: Sum of roots = 11/3 Product of roots = 2

Q: is (x + 8)2  a perfect square

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Q: 0=1+xx + ₂X4₁

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Q: and c so that the graph of the quadratic equa- ax + bx + c passes through the points (-2

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Q: 4) a) Show that the equation y = x³ + 3x2 + 16 has exactly one real root. What is it

A: To show That the equation y=x^3+3x^2+16 has exactly one real root.

Q: Find, in factored form, the equation of the quartic function y that has been graphed. Let the…

A: We have to find the quartic equation represented by the given graph.

Q: The quotient rule for square roots states that if a and b are nonnegative and b ≠ 0, then √a/b =…

A: The quotient rule for square roots states that if a and b are nonnegative and b ≠ 0, then

Q: Solve for the root using Bisection, Newton Raphson, and Secant Method 1. 3x³4x²-3x - 2 = 0

A: Given that 3x3-4x2-3x-2=0 Let fx=3x3-4x2-3x-2, then f0=-2, f1=3-4-3-2=-6,…

Q: Make a change of variable, x = Py, that transforms the quadratic form x? + 10xjx2 +x; into a…

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Q: 2. The roots of a quadratic are x = -5 and x = 3. Which of the following are possible factors of the…

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Q: 1. Determine the standard form equation of the quadratic with the following information.

A: Quadratic equation.

Q: 2. Find a quadratic spline function having the nodes –1,0 and 1, and satisfying the table -1 |0|1 7…

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Q: If a and B are the zeros of the quadratic polynom ial f(x)= 2x²- 5x + 7, Find a polynom ial whose…

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Q: Find the roots of  Z²- 4Z+13 = 0

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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: ! and A quadratic polynomial y = 4x? + 7x – 3 has roots pand q. Find a quadratic g(x) = x2 + ax + B…

A: To find out the quadratic equation.

Q: Show that If 2 is a root of  kx4 - 11x3 + kx2 + 13x + 2 Then K = 3

A: Given,          2 is a root of kx4-11x3+kx2+13x+2 then k=3.

Q: Select all quadratics which have real zeroes. O f(2) = (z - 4)² – 2 O f(2) O f(x) = 2x + 4r + 4 - 5a…

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Q: Use Steffensen's method to find, to an accuracy of 10-6, the root of x −2¯* =0 that lies in [0, 1].

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Q: Choose only one method under the LU Factorization Method to find the roots of the following set of…

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Q: Find all solutions for x in [0,2pi) 3cosx+4sinxcosx=0 (How do you factor this. . . lol)

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Q: what is the factored form of ax^2+bx+c where the roots are x1 and x2?

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Q: b) Find all the roots of x3+7x²+7x+1%3D0

A: First find the one root by hit and trial method then using long division form the quadratic and…

Q: Find all roots of x^4-7x^3+18x^2-22x+12 fiven that 1-i is a zero and sketch the graph

A: We have to find all roots of x4-7x3+18x2-22x+12. Given that 1-i is a zero.   We know, if (x-a) is a…

Q: Find a real root of 3*exp(-x/2)+4*In(x)-2 = 0 using False Position method with a=0.5 and b=2.0…

A: Given:            3*exp(-x/2)+4*ln(x)-2=0           3·e-x2+4lnx-2=0     By using False position…

Q: Show that the equation 5x* = 7x+5 has at most two real roots. %3D

A: To show that the equation 5x4=7x+5 has at most two real roots

Q: Find the roots of z3= -2

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Q: Write the eguation of a sixth degree uatioN with a root of 2 with multiplicity of 2.r0ot of -3 with…

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Q: Prove that the equation a3 – 4.x + 2 = 0 has three irrational solutions. Hin %3D but just show that…

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Q: The vertex of the parabola f(x) = x² + 10x + 6 is о (-5, —13) о (-5, —19) о (-10, —19) о (-10, — 25)…

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Q: The product rule for square roots states that if a and b are nonnegative, then √ab =______.

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Q: The vertex of the parabola f(x) = x² + 14x + 4 is о (-7, -41) о (-21, —45) о (-14, -45) о (-7, -45)…

A: As we know that the vertex of a parabola f(x)=ax2+bx+c is : Vertex=-b2a,f-b2a

Q: Find all (complex) zeros of P(x) = x4 – 5a³+ 2x2 – 10x. Write P in factored form. (Hint: factor by…

A: Given, Px=x4-5x3+2x2-10x To find, Zeros of the P(x).

Q: what is the roots of x2 _ 5x _ 2 =0 ?

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Q: b) The polynomi al PGX) =x"+mx²+42x²+nx+65, where m and n are real, has zeros 3+2i and 1-i. :) Write…

A: Kindly note that there is misprint in question which is mentioned at the end of solution.

Q: Solve the following quadratic equati ons by factorization method

A: II)x+3x-2-1-xx=174

Q: Give a polynomial equation with integral coefficients that has the following roots. 1± 2i, 2±√3

A: We can solve the problem by just multiply the factor of the polynomial.

Q: Find x so that the distance between (−4, 5) and (x, 3) is  the square root of 29

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Q: determine the value/s of k if one of the roots of kx2 + 3x - 7=0 is 2.

A: NOTE: Refresh your page if you can't see any equations. . the given root is x=2