D. Describe the nature of the roots of the following quadratic equations. 1. 3x² + 5x + 1 = 0 5. 10n² 4n = 8 2.4x²2x4=0 3.6s² s2 = 0 4. 9t² 2t + 1 = 0 6. 2a(6a-8) + 4 = 39 7.3m NIE m = 0 8.2x - ²+3=0 x

Q: Which of the following is NOT a quadratic equation? Select one: O a. 1 IN 2 1 x O C. O d. 2 = x + 2…

A: A equation in x is said to be quadratic equation if the highest power of x in this equation=2

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

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Q: B. Determine whether each of the following is a quadratic equation or not. 1. 2x²+ 6x = 5 %3D 2. 4x?…

A: Given

Q: 7. Solvé the ing equations using the quadratic formula. (Hint: Rewrite each equation so that one…

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Q: 12. When should the quadratic formula be used to find the roots of a quadratic equation, ax²+bx+c=0?…

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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: 1. Find the quotient of x3 −5x2 −2x+ 24  by x−4, and then divide the quotient by x−3. What are the…

A: x-4x2-x-6x3-5x2-2x+24-x3∓4x2-x2-2x+24∓x2±4x-6x+24-6x+2400    ∴x3-5x-2x+24=x2-x-6 x-4 —∗…

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Q: 6 Match the following quadratics to their zeros. x² + 10x + 21 = 0 x² + 76x + 75 = 0 x² + 32x + 31 =…

A:

Q: Which of the following quadratic equations is in standard form? (a) x - 7x = 5 (c) (x + 5)(x – 4) =…

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

A: Answer

Q: Find one of the four solutions of (6x – 9x +4) -5(6z - 9x + 4) +5 = 0. Write your solution using…

A: To solve: 6x2-9x+42-56x2-9x+4+5=0 Substitute 6x2-9x+4 = y

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Q: Place the following equation into quadratic form. -8 = 2 (x + 9)² O 0 = 2x2 – 36x + 170 O 0 = 2x² +…

A: The given equation is -8=2(x+9)2

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Q: 4. Use the quadratic formula to find the zeros of each function. a. f(x) = 3x² + 5x – 2 %3D b. f(x)…

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

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Q: If a and B are the roots of the quadratic equation -x+6x - 4 = 0, find the values of the following…

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Q: C. hás á 4 and is: 1 2 21. The quadratic equation whose roots are - 3 A. 6x + x – 2 = 0 B. 6x + 7x +…

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: Howmany real roots does the quadratic equation x² + 8x+ 12 =0 have? Which of the following is the…

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