(4) Show that in general, the sum of the roots of a quadratic equation ax? + bx + c = 0 is whereas the product of the roots of a quadratic equation is a - - a

Q: What is the solution to this quadratic, -3x + 8x-6 = -4 + iV2 3 4 +iv2 {*} 3 -4 + 2iv2 3 S4±iv2 3

A: given equation-3x2+8x-6=0compair withax2+bx+c=0a=-3, b=8, c=-6we know that…

Q: Find the roots of 2x2-2(√2x) +1=0,If they  exist using quadratic formula

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Q: Compute the value of the discriminant and give the number of real solutions of the quadratic…

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Q: Show that in general , the sum of the roots of a quadratic equation ax2 + bc +c =0 is - b/a whereas…

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Q: The solution of the quadratic equation 5æ? + 5x + 1= 0 are -5 + V15 15 O -5± V15 10 O -5 + /15 20 O…

A: A detailed solution is given below

Q: Show that the product of the roots of a quadratic equation is c/a .

A: Consider the quadratic equation ax2+bx+c=0 Also consider that α and β are the roots of the quadratic…

Q: Ex) Algebraically find the roots of the quadratic: rC) =}cx - 29° - 6

A: Given equation is; f(x)=12(x-2)2-6 Put f(x)=0x2+4-4x2-6=0x2-4x+4=12x2-4x-8=0

Q: If one root of the quadratic equation x-kx+18 = 0 is twice the other root, find the possible…

A: Given,            One root of the quadratic equation x2 -kx + 18 = 0 is twice the other root.

Q: Find the root(s) of the quadratic equation O(4. -5) O (2. 6) O (-2, -3) O (1. 5) -6x +5 0

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Q: I had a question regarding the quadratic formula. Based on the equation x = [-b +/- sqrt(-b^2 -…

A: As we are discussing about quadratic equations and of we want to determine equation have infinite…

Q: 12. If the x-term is missing, then the quadratic equation cannot be used.

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Example 2.40. Solve x¹-5x³+20x² 40x+60=0, given that all the roots of f(x) = 0 are complex, by using…

A: Here we need to solve equations using Lin-Bairstow Method.

Q: What is the solution to this quadratic, -3x2 + 8x - 6 = 0 -4 +iv21 3 4±iv2 -4 2iv2 4 +iv2 {*}

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Q: What is the average of the two solutions of the arbitrary quadratic equation ax2 + bx + c = 0?…

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Q: Show that the equation x2 + y2 = 2003 has no solutions in the integers.

A: Consider the given equation: Here the objective is to show that the above given equation has no…

Q: 2, i, Find out the roots of the following by completing the square. 5x^2-2х-4-0

A: To Find: the roots of the following by completing the square: 5x2-2x-4=0.

Q: Find the quadratic equation through the origin that is a best fit for the points: (1,1), (2,5),…

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Q: Which of the following equations can be reduced to be a separable equation?

A: I.  2xy-tanydx+x2-xsec2ydy=0 ⇒ 2xy.dx+x2dy-tany.dx-xsec2y.dy=0⇒dx2y-dx.tany=0  Integrate both…

Q: quadratic equation has two distinct real roots, what does this say about its discriminant?

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Q: Find the complex solutions of the equation 2x + 2x + 3 = 0 using th quadratic formula. -1 tiV5 -1…

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Q: If the roots of equation x² - 2cx + ab = 0 are real and unequal, - then prove that the roots of x²…

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Q: Show that in general,the sum of the roots of a quadratic equation ax^2+bx+c=0 is −b/a whereas the…

A: The quadratic equation is given by ax2+bx+c=0 let α and β be the roots of the quadratic equation…

Q: Prove that the equation 2x2 + y² 14 has no positive integer solutions.

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Q: Show that the cubic equation 2x3−3x2−15=0 has a solution in the interval (2,3).

A: Cubic Equation: Let f(x)=2x3-3x2-15We need find that there is a solution between (2,3)

Q: Show that the sum of the roots of a quadratic equation is - b/a

A: To show that the sum of the roots of a quadratic equation is -ba.

Q: Compute the value of the discriminant and give the number of real solutions of the quadratic…

A:

Q: If the roots of a quadratic equation: A x 2 + B x + C = 0 are x=5 and x=4/3, then what is the…

A: Consider the given quadratic equation: Ax2+Bx+C=0 Root of the above equation is x=5 and x=43 Here,…

Q: (4) Show that in general, the sum of the roots of a quadratic equation ax2 + bx + c = 0 is --…

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Q: If a, b, c are integer powers of 2, prove that equation a³ + 64 = c does not have solution,…

A: Given,a,b,c are integers of the form 2k, k∈Na3+b4=c5

Q: The solution of the quadratic equation 5æ? + 5x + 4 = 0 are, -5 + v-55 10 O -5 + V-15 10 O -5± V-15…

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Q: 6. Show that the quadratic equation ax² + b – a = 0 (a± 0) has two distinct real roots.

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Q: 13. (a) Solve 2.xr - 3x – 2 = 0. (b) Hence, form a quadratic equation in x whose roots are negatives…

A: Given: 2x2-3x-2=0 for solving this, we will use factorization method

Q: Show that in general, the sum of the roots of a quadratic equation ax² + bx + c = 0 is whereas the…

A: We have to solve given problem:

Q: Do you wholly agree with the statement that “the domain and range of a quadratic equation will be…

A: The quadratic function is of form  f(x) =ax2+bx+c the graph of a quadratic function F(x) is called…

Q: (4) Show that in general the sum of the roots of a quadratic equation ax? + bx +e=0 b is --whereas…

A: Let u and v be the roots of a quadratic equation ax2+bx+c=0. To obtain the equation from the roots,…

Q: quadratic

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Q: Find the complete or particular solution of the following diffi- rential equations:

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Q: A classic example of the quadratic equation in Babylonian mathematics is found on a tablet in the…

A: Step:- 1 a; b is way of writing number in Babylonian mathematics in base 60 to calculate this number…

Q: (4) Show that in general, the sum of the roots of a quadratic equation ax² + bx + c = 0 b is whereas…

A:

Q: Let A and B be real numbers such that a root of the equation z ^ 3 + Az ^ 2 + Bz + 26 = 0 is 1 + i.…

A: First of all, as coefficients A and B are real, we know that, if z ∈ C is a root of an equation,…

Q: e and p are the roots of the quadratic equation x2+ 5x– 13 = 0, form a quadratic equation in x whose…

A: Given,            α and β are the roots of the quadratic equation x2 + 5x - 13 =0

Q: Show that in general,the sum of the roots of a quadratic equation ax²+ bx + c = 0 is −b       a…

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Q: 2. Given that x4 −2x3 −7x2 +8x+12 = 0 has the roots −1 and 2, find the quadratic equation whose…

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Q: (4) Show that in general, the sum of the roots of a quadratic equation ax? + bx + c = 0 b is whereas…

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Q: 4. Construct an equation whose roots are less than 4 of the roots of x+3x-12x-10=0

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Q: If the discriminant of a quadratic equation is greater than zero, the roots of the equation are:…

A: The polynomial equation whose highest degree is two is called a quadratic equation. The discriminant…

Q: What is/are the value/s of k in the quadratic equation 2x² – 5x – k = 0 whose roots are imaginary?…

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Q: it is given that α and β are the roots of quadratic equation 2x^2-5x+6=0.Form a quadratic equation…

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Q: The solutions of the quadratic equation x + 3x + 9 = 0 are O -3+iv36 2 -3+iv27 2 O -3+iv27 4 O…

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