The value of a for which one root of the quadratic equation (a? – 5a + 3) x² + (3a – 1) x + 2 = 0 is twice as large as - %3D other, is

Q: The solution of the quadratic equation 3x +3x +3 0 are O -3+ V-18 -3 + v-27 3土 V9 12 O- 3 v 9

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Q: The solution of the quadratic equation 4x² + 5x + 2 = 0 are O -5± vỹ 8 O -5± vỹ 12 O -5+ vī O -5+v-7…

A: Given: 4x2+5x+2=0Formula to find the value of x for an equation ax2+bx+c=0x=-b±b2-4ac2a

Q: Find the roots of the quadratic equation x + 2x - 3 = 0.

A: We will find the root by two methods first by splitting the middle term and second by discriminant…

Q: hat is the average of the two solutions of the abitrary quadratice equation ax2 + bx +c = 0

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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: What is the discriminant of the quadratic equation ax + bx + c = 0? Find the discriminant of 2r - 3x…

A: The discriminant of the quadratic equation ax2+bx+c=0 is given by D=b2-4ac. The rules that defines…

Q: For the quadratic equation ax2 + bx + c = 0, the discriminant is D = The discrimin If D> 0, the…

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Q: The quadratic equation, x + 1/x - 4x = 2 has a solution, what is the solution

A: In this question we have to find the value of x

Q: Which of the following quadratic equations has solutions -4 and 5? A x2 - x-20 = 0 %3D В x2 + x – 20…

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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: If 3  4i is a solution of a quadratic equation with realcoefficients, then is also a solution of…

A: To solve the given problem.

Q: Find all real solutions of the equation. 0 = x2 - 4x + 1

A: The given equation is 0=x2-4x+1

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: (x-4)(x-2)= -1 ,must be solved using the quadratic formula.

A: Given,(x-4)(x-2)=-1Consider the LHS(x-4)(x-2)

Q: The solution of the quadratic equation 3x2 + 6x +4 = 0 are O -6+V12 12 O -6+V12 O -6+ V12 9 O -6+ võ…

A: Find the roots of the quadratic equation

Q: Find the roots of the given Quadratic Equations. 1. x2 - 12 = 0 2. x2 - 16 = 0 3. (x + 3)2 - 20 = 0

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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: discuss the nature of the quadratic equation form  x2+4xy+6xz-y2+2yz+4z2

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Q: The discriminant of the quadratic equation 4x+7z-4 0 is O 15

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Q: Use the techniques presented in this section to find all solutions of the given equation   2x3 + 6x…

A: Given: To find: all solutions of the given equation     2x3+6x-3=0

Q: The solutions to the quadratic equation x2 – 11x + 22 = 0 are x = 3 and x = :6. What is the base of…

A: Let the base be 'b' 11 (base b)= (b+1) of [ base 10] 22 (base b)=(2b+2) of [base 10] Now we know…

Q: Find the constant k so that the quadratic equation 2x2 + 5x - k = 0 has two real solutions.

A: To have real solutions for quadratic equation ax^2+bx+c =0 We must have b^2 - 4ac ≥ 0

Q: The solution of the quadratic equation 5x2 + 6x +1=0 are -6+ v21 10 -6+ v26 20 O -6+ V16 10 O -6 +…

A: Roots of the quadratic equation

Q: Suppose x=−3−9i  is a solution of a quadratic equation with real coefficients. Then another…

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Q: The discriminant of the quadratic equation 3x2 + 6x - 1 = 0 is [ Select ] and tells us that there…

A: we have to find the discriminant

Q: Find the discriminant of the quadratic equation and give the number and type of solutions of the…

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Q: The solution of the quadratic equation 3x² + 5x + 2 = 0 are. O -5± V13 12 O -5± V13 6 O -5 ± V13 O…

A: given quadratic equation is                                              3x2+5x+2=0 solution of…

Q: The solutions of the quadratic equation x2 + 4x + 8 = 0 are

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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: Find the value of a for which one root of the quadratic equation (a² − 5a +3)x² + (3a-1)x+2=0 is…

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Q: The solutions of the quadratic equation z2+2x +7 0 are -2+iv24 2 2+iv24 4. O -2+iv38 2 O -7+iv24 2…

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Q: Find all real solutions of the equation.

A: Given: 5=4x-3

Q: The general or standard form of a quadratic equations is ax2 + bx + c = 0, where a cannot equal…

A: Quadratic equations  Highest Degree is  two

Q: The square on quadratic equation  1/3 x2 - 4x + 16

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Q: quadratic equation

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Q: 4. For what value of b will the quadratic equation 16x² + bx + 9 = 0 have one root?

A: Given,            16x2+bx+9=0To find : The value of b.

Q: If the discriminant of ax2 + bx + c = 0 is positive, the quadratic equation has________ real…

A: We have to fill in the blanks: If the discriminant of ax2+bx+c=0 is positive, the quadratic equation…

Q: The solutions of the quadratic equation x(x + 4) + 15 = 0 are 4+iv8 2 O -4+iv8 4 O -4+iv12 2 O…

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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: (4) Find ß such that the equation Bx² + x + B = 0 has a repeated real solution.

A: General quadratic equation: ax2 +bx + c = 0 For repeated real roots : D = 0 D = b2 -4ac = 0

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: Which of the following is not a quadratic equation? (A) x2 – 5x+6= 2x+1 (C) x² – 9x+ 10 = (5-x)x (B)…

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Q: The sum of the roots of a cubic equation x3 + ax2 + bx +c = 0 is

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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: Which of the following quadratic equations has one real solution/ 1. 4x^2=3x-8 2.  10x=2-x^2 3.…

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Q: For what values of k will the quadratic equation x2 + kx+ 16 = 0 have two equal real roots?

A: The values of k are, - 8 & 8.