If a and 3 are the roots of the quadratic 3r² – 4.x + 6 = 0, find the value of ( + )

Q: ax + bx + c, for a quadratic that has roots at x = 4 and x Find the formula, in standard form y =…

A: Find coefficent Quadratic equation

Q: Suppose a quadratic equation is given as follows: (k – 1)x? + x + 1=0 Select all values of k for…

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Q: Find a quadratic equation whose product of roots x, and x₂ is X₂ equal to 4 and satisfying the…

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Q: If the roots of x²-ax+b=0 is twice the other.find b in terms of a

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Q: 8. a.) X + x- 2 X-2

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining…

Q: Find the formula, in standard form y=ax2+bx+c, for a quadratic that has roots at x = 5 and x= -1,…

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Q: Find the value of k for which the quadratic equation  (k+4) x2+(k+1)x+1=0 has equal roots

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Q: Find the change of variable x = Py that transforms the quadratic form xTAx into yTDy as shown 2x? +…

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Q: Find all 4 roots of the equation z4+1=0.

A: Concept:

Q: 1.) 6x² + Ilx - 35 = 0 |3| 2) 20x² – 15x -10 = 0 3) 2x2 +8X =0 4) 4x2 +3x - 2=D0 5) 2x2- 64=0

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Q: What is/are the value/s of k if the roots of X2 + x + k = 4 are equal?

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Q: Determine all the roots of R(y)=12y²+11y-5

A: R(y)=12y²+11y-5

Q: The quadratic form Q = x' – 4xz + 6y? + 422 is:

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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 the roots of   (1+m)x2-2(1+3m)x+(1+3m)=0 are equal then find the value of m

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Q: Use the quadratic formula to solve for x. 3x-9x=-4 Round your answer to the nearest hundredth. If…

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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: Given that each of the following quadratic equations has no real roots, find the Pange of kx² - 4x +…

A: General form of quadratic equation:ax2+bx+c=0Quadratic Formula:x=-b±b2-4ac2ab2-4ac=0    one real…

Q: If (2+3) is one of the roots of the equation x² + (α-ix+bi=o find the valus of a b

A: given  one of the root of the equation x2+(a-i)x+bi=0 is 2+3i we have to find the value of a, b…

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: Find the roots of following quadratic equation a + = 0 3 O # = -1± v13 + V13 6 O # = 1 + V13 O 2 =…

A: To determine: Roots of the given equation. Concept: Roots of a quadratic equation in the form…

Q: 12. For what values of k, will the equation 3x? +4x + k = 0 have two equal roots?

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Q: Solve the following quadratic by square rooting. 0 = 3z2 + 18 The solutions are and L. L.

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

A: To find which of the following quadratic equations will obtain 2 rational roots

Q: Find a quadratic equation whose product of roots x, and x₂ is X₁ X₂ equal to 4 and satisfying the…

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Q: 10 How many real roots does the quadratic function f (x) = x +6x +9 have? 2. D. cannot be determined

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Q: What are the roots of the quadratic function y =-x +3x-4 ? %3D x+1 and x--4 x--1 and x-4 -3+51 C E I…

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Q: Find the roots of the equation z³ – 1 = 0.

A: Given,           z3-1=0

Q: 2. t C .) x-L +さ-2= 2 2- %3D

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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: Answer the following: 1. Characterize the roots of the following quadratic equations using the…

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Q: find the value of k for which the quadratic equation (k+4)x2+(k+1)X+1=0 has equal roots

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Q: 1. Solve the following quadratic equations by factoring. doidw g. (x+1)(x + 3) = -1 h. x(x + 2) =…

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Q: Determine the value of the missing coefficient so that the roots of the equation are equal and are…

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Q: Identify the roots for the equation 5 x 2 + 2 x = -4. -1+iv19 | 10 iv19

A: Given, 5x²+2x+4= 0 We know that, The standard quadratic equation is given by, ax²+bx+c=0. Here, a=5…

Q: Refer to the second row Of the toble. 0.06X + 0.1(4600) = 0,09 (x t4500) %3D Solve the eguation 0.06…

A: Given

Q: A quadratic equation x2-4x+4=D0 is defined with Po=2.5 and p1= 3.4. Find the approximated value of…

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Q: Suppose a quadratic equation is given as follows: (k – 1)x² + x + 1 = 0 Select all values of k for…

A: k-1x2+x+1=0 The Formula for discriminant is- D=-b±b2-4ac2a

Q: 3 If 16x"+242 + 9x² - 1 = 0, find the roots f the equation

A: By factoring the polynomial we find the roots of polynomial.

Q: It is given that a and ß are the roots of the quadratic equation (x – 2)(x – 1) = p. If (2a – 1)(2B…

A: given(x-2)(x-1)=pexpand this expressionx2-3x+2-p=0ax2+bx+c=0if the roots of this equation are α and…

Q: Given that k#1 and the roots of the equation z' = k are à, B (x-2) and Y, use the substitution z =…

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Q: the sum of the roots of the equation 1/(x + a) + 1/(x == 1/c is zero, then prove that the product of…

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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.

Q: The roots of x² + mx + m – 24 = 0 So X1 the expression to get the smallest value?

A: Given that: x2+mx+m-24=0 has roots x1 and x2

Q: Which of the following are quadratics? For those that are, identify the values of ā, b, and c 1. 2x…

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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.…

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.