Suppose that a random number  is chosen from the interval (0,2). What is the probability that the quadratic equation 4x^2−x+k=0  has two distinct real roots?  ROUND OFF your answer in DECIMAL FORM (4 decimal places)

Q: no real solution z= -8 z= -7 z = -6 z = -5 z = -4 z = -3 z = -2 z = -1 z = 0 z = 1 z= 2 z = 3 z = 4…

A: Solve 0=z^2-10z+25 by factoring.

Q: If x^4+ax^2+bx+c= 0 has roots x=−1,2,and 3, find the values of a, b,and c, as well as the fourth…

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Q: For the quadratic equation 9x^2+(3k+1)x+4=0 find the value(s) of k so that there is 1 real root.

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Q: If -5 is a root of the quadratic equation 2x^2 +px-15=0o and the quadratic equation P(x^2 +x)+K=0…

A: GIVEN: 2x2 + px - 15 = 0              Root of this equation is -5

Q: Which polynomial function has a y-intercepts at X = -2, - 1, and 1? O A a(x) = 2x3-3x2- 3x + 2 b(x)…

A: putting the values of x = 1,-1 and -2  f(x) should be 0.

Q: Suppose, you have a quadratic polynomial equation, y=x^2−4x+3 and the value of x can be any randomly…

A: When X= 1 then Y= 0 When X=2 then Y= -1 When X=3 then Y= 0 When X= 4 then Y= 3 When X= 5 then Y= 8…

Q: a. Using the fixed point method, derive the formula xn= x-1-b 'n-1 2xn-1-a For the approximate roots…

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Q: Find the specified area. 29) The area under the graph of f over the interval [-3, 3] if x < 1, ≥ 1 -…

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Q: for which b-value will the foollowing quadratic equatiom have roota x1=1 and x2=6;…

A: In this question , we have given that root of the equation so the root of the equation satisfy the…

Q: Find the constants A, B and C such that: 2x^2+6x+5= (Ax+ B)^2+ C b. Determine the range of values of…

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Q: Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible.

A: To find a positive number for which the sum of it and its reciprocal is the smallest possible.

Q: Bx + (5x^2)/2 + (5y^2)/4 + y/(sqrt(2)) + 1 = 0 Check the alternative that contains ALL values ​​of…

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Q: Suppose P is the invertible and A = PBP^-1.  Solve for B in terms of A.

A: Do an algebraic manipulation of matries by multipliation.

Q: Find the equation of a quadratic function that has the following root x = 5i and x = - 5i and passes…

A: We need to find the equation of a quadratic function that has the following root x = 5i and x = - 5i…

Q: One of the factor of kx^3+3x^2-2kx+1 is x+1. Find k

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Q: Find the value of p if one root of x^(2)−x−p=0 is the square of the other.

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Q: The best-fit quadratic is y = (round your coefficients to 2 decimal places)

A: Input 3 6 8 9 10 Output 79 51 -18 -57 -88

Q: Is the function R(q)=1/q^2(q^2+5)^2 quadratic? If so, write the function in the form R(q)=aq^2+b⁢q+c…

A: We have to distribute (q^2+5)^2 first using (a+b)^2 formula.

Q: Given that 3+2i is a root of the equation x^4-8x^3+30x^2-56x+65=0.Which of the following quadratic…

A: Given: 3+2i  is a root of the equation:  x4-8x3+30x2-56x+65=0

Q: Solve for k, so the expression 8kx^2-2x-k=0 is a factor of x+k.

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Q: x^2+3xy+2y^2+4x+7y+3 Factor with all complete steps please thank you!

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Q: Find A-1 and det(A) A = -24 -18 -20 -15 -5 -4 5 4 1

A: % Defining matrix AA = [-24 -18 5; -20 -15 4; -5 -4 1]; A  % Find determinant of a matrix A…

Q: Solve for B^T +C l, if possible

A: Given that:B=012-231C=60-2-2109

Q: Find a real general solution x^2y"−20y=0

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