4. Which of the qundratic equation has no real roots? 1. x*+ 3x - 10 -0 5 Whnt is the nature of roots of the quadratic equation x+ 14x + 49-0? b. x+ 7x =-12 e. x- 10x + 25-0

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A: Option (C) is correct option. The roots of the equation are -4,0 and 10,0. So, x=-4,10. Use the…

Q: 4. If A is the set of roots of the equation x³ – 3x + 2 = 0, then A is equal to a) {1; –3; 2} b)…

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Q: Solve the following quadratic equation using any method to 1. x2- 10x + 25 6. 2x2 - x = 4 2. 2x2 +…

A: The quadratic equations are1. x2-10x+25=02. 2x2+5x-3=03. y2+4y=32 Note:   multiple questions are…

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Q: 2. Let r, 2 be the roots of the equation 2x-6x+3=0, construct an equation whose roots and are rr3,…

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Q: 10. Write the sustem of lineor equations in the form Arebuand solve this motrit equat 2と, X, t Xu-9…

A: Given: 2x1  -x2 +x4 =93x2 -x3 -x4 =-9x1 +x3 -3x4 =-2x1 +x2 +2x3 =0 To find : x1x2x3x4 for system of…

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A: 3z3-5z2+27z-45 = 0Using rational root test :±11, ±13, ±31, ±51, ±91, ±93, ±151, ±153, ±451,…

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Q: It is given that a and B are the roots of the quadratic equation 2x+4x- 3 = 0. Form a quadratic…

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Q: Show that the equation e +-23D0 has no real root which is less than 1.

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Q: This question must be solved by "the quadratic formula". Be sure to show your work accordingly. 2-…

A: The quadratic formula for the quadratic equation ax2+bx+c=0 for finding roots is given by,…

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Q: 10.) Solve for both roots in the following equations using the quadratic formula where az^2+ bz +c =…

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Q: Which of the following quadratic equations will obtain 2 rational roots? A. 2x2 +11x + 12 = 0 B. 4x2…

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

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Q: If the roots of equation x² - 2cx + ab = 0 a the that th of 2 20 41

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Q: Prove that zero is a root for the equation ax' + bx² +cx+d = 0 if and only if d = 0. What can you…

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Q: Which of the followings describe all the solutions to the equation: x1 + 2x2 + 4x3 = 2? %3D 1. {(2,…

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Q: 43. Given that r is a root of the quadratic equation x² - 3x - 5 = 0, find the value of 2r² – 6r +…

A: Given: r is a root of quadratic equation x2-3x-5=0. To determine: Value of 2r2-6r+1

Q: 1. Determine the nature of the roots of the following equations: (a) 3x + 5x +4 = 0 (c) x-8x + 16 =…

A: Given that: 1x-1x+1=15

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: (a) If Q: R"R is a quadratic form, ex that O takes on

A: Given, Q : ℝn→ℝ is a quadratic from,

Q: To prove the equation r + z –1=0 has exactly one real root, %3D

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

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Q: 1. Determine the characteristic of the roots of the quadratic equations. a) х? — х —30 %3D0 b) 7x –…

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Q: Which is the correct set up for the quadratic formula given the equation: 3x2 – 6z = 12 o) 4(3)(12)…

A: The given quadratic equation is  3x2 - 6x = 12

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

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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.…

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Q: Advanced Math Question

A: To answer the given question we shall use the following rule. Descartes' Rule: The number of…

Q: 8. Which of the following quadratic equations can be solved easily by extracting square roots? C.…

A: Please refer the attached image for complete solution.THANK YOU.

Q: OShow that every cubic equation of the form x³ + bx2 + c = 0 where b and c are real numbers has at…

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Q: 8. Which of the following are approximate roots of the equation -óx? + 20 = 43x? a x--7.61, 0.44 c…

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Q: If a, b, c are in GP and the equation ax² +2bx+c= 0 and dx² +2ex+f=0 have a common root, then is it…

A: Given that a,b,c in G.P and the equation ax2+2bx+c=0 and dx2+2ex+f=0 have a common root.

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

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

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

A: The quadratic equation is given as ax2+bx+c=0 Its roots are given by x = -b±b2-4ac2a Hence its roots…

Q: 9. Which of the following methods can be used in solving quadratic equation of the form ax? + bx + c…

A: Question is solved.

Q: 52. The sum of the roots of the equation at + bt + c = 0 is equal to the sum of the squares of their…

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Q: If one of the roots of ax^2 + bx + c is 2/3 + 5/9i where a, b and c are integers, what is the value…

A: Explanation of the answer is as follows

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Q: Given that the equation z2 + (p + iq)z + r + is = 0, where p, q, r, s are real and non-zero has a…

A: Introduction :--

Q: Which of the following quadratic equations has the sum of product of the roots to be 4 and 7,…

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Q: Which of the following quadratics has imaginary roots? (1) x² +3x – 5 = 0 (3) 2x² – 3x+1=0 (2) x²…

A: For a quadratic equation: ax2+bx+c=0, the discriminant is calculated using the formula: D=b2-4ac.…