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

Q: If the equation x + ax + bx² + cx + d.= 0 has four real positive roots then (A) ac ≥ 16d (B) b² ≥…

A: We can use Vieta's formulas to relate the coefficients of the quartic equation to its roots. Vieta's…

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A: To find the roots of the complex quadratic equation  z2 + 2z + (1 - i) = 0 , we can use the…

Q: What are the roots of the equation x2 + 2x + 37 = 0 in simplest a + bi form?

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Q: Solve the quadratic equation by completing the square. x² +11x-5=0 Choose the appropriate process…

A: We have to solve above Quadratic equations

Q: 1. Consider the quadratic equation 3x -6 = 2x. (a) What is the value of the discriminant? (b) What…

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Q: x2 100,000.00001x + 1 0 b. x2-1,000,000.000001x +1 0 a.

A: Consider the equation ax2+bx+c=0, where a≠0 and b2-4ac>0  and x1 and x2 are roots of this…

Q: OAssUM ING THAT THE ROOTS OF THE GIVEN QUAD RATIC EQUATION ARE a,B ROOTS oTAN THE SUM AND PRODUCT OP…

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Q: (b) The roots of the quadratic equation 3x-11x+9=0 are a and B. Form a quadratic equation whose…

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Q: A. Find the sum and product of the solutions of the following quadratic equations. Quadratic…

A: sum of root =-b/a product of root =c/a

Q: Find the quadratic equation if one of the roots is 8 - 3i. a. x² - 16x + 73 = 0 b. x? • 16x • 73 = 0…

A: The quadratic function has the root 8-3i Note: Multiple questions are given, we are answered with…

Q: Find the change of variable x = Py that transforms the quadratic form x' Ax into y' Dy as shown. 2 −…

A: Matrix A is of quadratic form ( from LHS) and D be diagonal matrix of eigen values (from RHS)…

Q: For which values ​​of a does the equation 3x³-5x²-4x+a=0 have exactly x=3? Determine all real roots…

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Q: х? - 2 8х + 65 — 0

A: we use i = √-1 and Quadratic formula

Q: Solve the quadratic equation by completing the square. x2+9x-2=0 Here is how far I got: x2+9x-2=0…

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Q: 1. Solve the following equations and list all the roots. a) (x² – 25)(x² + 5x – 14) = 0 b) (2x +…

A: Simplify the equation then find roots.

Q: 4. It is given that the square of the difference of the roots of the quadratic equation x² + px + 10…

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Q: A. Characterize the roots of the following quadratic equations using the discriminant. 1. x² + 4x +…

A: As per the guidelines I am supposed to do the first three questions of a multipart question so I am…

Q: find the value of m for which the equation (m+1)x2+2(m+3)x+(m+8)=0 has equal roots

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Q: For what values of the parameter a does the equation x + 2ax³ + x² + 2ax+1=0 have at least two…

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Q: Use the quadratic formula to solve for x. 9x+ 5x–1=0 (If there is more than one solution, separate…

A: We have given equation 9x2+5x-1=0 Then, comparing this ax2+bx+c=0 we have a=9,b=5,c=-1 Now, using…

Q: In the quadratic equation Ax²+BX+C =0' describe the roots when B2-4AC is positive. O The roots are…

A: Roots of quadratic equation

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: Determine the roots of the following quadratic expression 4x² - 19x + 12 = 0 a) x=3 and x=-16 b) x =…

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Q: 29. Use the quadratic formula to find the roots of the following quadratic: y = 2x² – 11x + 5 -

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Q: B. Determine whether each of the following is a quadratic equation or not. 1. 2x²+ 6x = 5 2. 4x?…

A: We know that a quadratic equation is written in the form of  ax2 + bx + c = 0. Here a is cofficient…