It is given that a and B are the roots of the quadratic equation 2x+4x- 3 = 0. Form a quadratic equation in x whose roots are a² and B. 28.

Q: Q:Solve the following quadratic equations by factorization method: 4 (i) --3 = 5 -x=0,- 2x+3 -3

A: From the given problem:   4x-3=52x+3x   So,…

Q: If x = 2 is one of the roots of P(x) = bx? – 12x + 4, find b.

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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: Solve the following equation for t. 14 - 21| + 5 = 12 %3D

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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: 7. Given that a and B are the roots of the quadratic equation x? + px + 8 = 0 while 2a and 2ß 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: Which equations are quadratic? 1 a) 2x? - 5x + 3 = 0 1 = 0 8 d) 4 b) x = x? + 4 e) V2r - 1 = 3 c) x…

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

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Q: 1. Determine which of the following are Quadratic Equations. Select ALL that apply. a. -x2 +4x-3 b.…

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Q: Which choice represents the solutions to the quadratic equation shown below? 0=x? +10x+29 O A.X=1…

A: Given quadratic equation: x2+10x+29=0

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Q: Evaluate (4x – 8)e*²-4x+3dx

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Q: Which of the following is the discriminant of the quadratic equation: ax? - bx + c = 0, where a, b,…

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Q: If the standard form of quadratic equation is; axt + bx + c =0,then values of a, b, and c in the…

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Q: Solve the following quadratic equations by factorization method: x +1 34 15 ',x + 0,x ± -1. %3D x +1

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Q: 2. t C .) x-L +さ-2= 2 2- %3D

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Q: 18. If r and s are the roots of the quadratic equation x2 – 4x – 5 = 0, what is the value of (r +…

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one.…

Q: Show that the root of equation x^2×(mx+c)^2=a^2 will be equal of c^2=a^2(1+m^2)

A: Given equation, x2+mx+c2=a2

Q: Answer this for me mate. Much appreciated.

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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: It is given that k is a root of the quadratic equation x +x+c= 0. (a) Express c in terms of k. (b)…

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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: Which of the following are the approximate solutions of the quadratic equation 5x- + 19x - 66 = 0? O…

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Q: 2. DEFC is a trapezoid. Solve for x, Z1,2,23andZ4. 2x + 8 70 C 85 10r + 4 20r – 2 3. MNPQ is a…

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Q: Obtain the solution set of z* - j3z? – 2 = 0. (Hìnt: factoring and quadratic formula)

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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: Solve the following quadratic equation for all values of x in simplest form. 2(x2 – 6) + 8 = 10 -

A: Simplification

Q: Consider the equation below. 4 - 28t = 6t - 12t +26 %3D Which equation could be used when completing…

A: To find equation could be used when completing the square .

Q: 1. Which of the following is a quadratic equation? a. 2r2 + 4r - 1 = 0 c s? + 5s - 4

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: b. Solve the simultaneous equations sy = 2x – 3 lx? + y? = 2 Show clear algebraic working

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Q: 4. For each of the following quadratic equations rearrange into the form ax? + bx + c = 0 and state…

A: Any equation of form is a quadratic equation as the highest exponent of a variable is 2.  The…

Q: If the roots of the quadratic equation px² – qx –r = 0 are real, then 7. A q? – 4pr 2 0 B q? + 4pr >…

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Q: What expression gives the values of the roots (if any) of the quadratic equation ax? + bx + c = 0…

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Q: Q: Discuss the nature of the quadratic form x'+4xy+6xz-y+2yz+4z

A: Given problem is :

Q: Solve the following quadratic equation (any appropriate method) (a) 2(3x – 1)2 + 5(3x – 1) = -2

A: Note: We'll answer the first question since the exact one wasn't specified. Please submit a new…

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: Which of the following equations is a quadratic equation? O 14x (x2 + 1) = 15 O (x2 + 5) (x² - 5x +…

A: topic -  quadratic equation

Q: If a cubic equation has a lead coefficient of 2 and a y interce know about the end behavior as x 00?…

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Q: 4. Which of the qundratic equation has no real roots? 1. x*+ 3x - 10 -0 5 Whnt is the nature of…

A: The equation ax2 +bx+c= 0 has real roots if b2 -4ac=0

Q: 2. Write an equation in standard form ax? + bx + c that has roots of x = 4,. %3D

A: The roots of given equation is x=4,12 To find the equation in standard form

Q: Which quadratic equation has irrational roots? 2? + 7а — 30 — 0 2? + За — 40 — 0 - x2 – 11x + 18 = 0…

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Q: Solve the following equation by hand using Technique 1 taught on 7/13. This says if  ax=ay  then…

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Q: Solve the following quadratic equations by factorization method: x+1 34 (i)- x+1 x*0,x= -1. 15

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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: Which of the following equations is a quadratic equation? O (x+ 5) (3x2 + 1) = 4 (-x*) O 14x(x+1) =…

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Q: Which of the following quadratic equations has real roots? A. x2 +x +1 = 0 B. 2x2 + 5x + 3 = 0 C.…

A: For real roots discriminant should be greater than Or equal to Zero.  That is, b2 - 4ac>= 0

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

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.