Calculate the discriminant for the following equation and describe the nature of its roots  −4x2+11x+20=0-4x2+11x+20=0  Δ=Δ=     Please select The equation has one rational root The equation has no real roots The equation has two rational roots The equation has two irrational roots

Q: Solve each rational equation. 0 w+8 5. w-7 10. w²-11w+28 2. W-4 98 11. -%3= x²-49 5. x²+4x+3 3.…

A: Since you have asked multiple questions, we will solve the first(all 3 parts) question for you. If…

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A: We have to find the other two roots of the polynomial function.

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Q: Given: x3 - 10x - 12 = 0. Solve, a. List all possible rational roots. b. Use synthetic division to…

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Q: 22. Solve vx-3 + vx+2 = 5. Be sure to check for extraneous roots.

A: An extraneous Solution is a root of a transformed equation that is not a root of the original…

Q: Determine the number and type of solutions for the equation 4x2 + x - 5 = 0 Two different…

A: We have to find type of solution

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Q: Which of the following best describes the roots of the equation xr² +6x+4 = 0? (1) they are unequal…

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Q: Perform the indicated operation x2-4x-32/ x2+9x+20 /   x2-2x-48 / x2+3x-4 (first equatios divided…

A: after simplification of the above equation we get x2 +3x-4x2+11x+30 detailed solution is given below…

Q: Find all real solutions 4x^2+20x-11=0

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Q: Solve the following equation involving a square root. Be sure to reject the extraneous solution (and…

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Q: 3x + 6 = -6x^2 Please find the discriminant and list the type of root and number of roots

A: Given equation: 3x+6=-6x2     up on rewriting6x2+3x+6=0 We know that for a quadratic equation…

Q: Maria 5x2-3x 2 b2- 4ac %3D (-3)2 - 4(5)(2) - -31 Since the discriminant is -31, there are no real…

A: The discriminant of the quadratic equation  ax2+bx+c=0 is: D=b2-4ac

Q: Determine the rational roots of the given equation 4x-3x 1

A: Given that : 4x3-3x=1. Therefore, 4x3=3x+1 Now, add (-4) on both the sides, we get ;…

Q: hi,can you solve this question ? The roots of the equation x2+(m-2)x+4m-6=0  are x1 and x2. So:…

A: We have to find sum of roots and product of roots.

Q: x2 - 2x + 13x3

A: To solve the given polynomial for the roots. To state the method used for factoring.x2-2x+13x3

Q: +3=0 has two distinct real roots. proba

A: *Answer:

Q: The following equation is given. Complete parts (a)-(c). x3 5x? -4x + 20 = 0 .... a. List all…

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Q: What are the roots of the equation ² - 5x 2 0? 5 V17 2 -5 V17 2. (1) x = (3) x = (2) x = 5 33 2 (4)…

A: given,

Q: Solve the following rational equation. Reject any extraneous roots. х-3 х* -7х+12 х-4

A: Topic-simplification

Q: Español Find all complex solutions of 6x? + 5x+4=0. (If there is more than one solution, separate…

A: We can find the complex roots as below.

Q: olve the equation 3x + 4 6x2 + 5x 4 2x 1 Solutions (separate by commas): z =

A: Given: 13x+4+66x2+5x-4=x2x-1

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Q: x^2 + 5x + 3 . could you find roots

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Q: a) List all possible rational roots.,b) Use synthetic division to test the possible rational roots…

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Q: Determine if each of the following statements are TRUE or FALSE and then explain WHY the statement…

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Q: Find @Er Er? © Ene for -2x3 +5X-4=0 if riz Yo grz ane the roots.

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Q: y' + 3y = 6x + 11

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Q: Identify the case of the auxiliary solution: m6 + m5 – 20m4 = 0 Select one or more: O a. Case 4 -…

A: The given auxiliary equation is: m6+m5-20m4=0

Q: Use the Rational Root Theoren to list all possible rational roots for each equation. Then find any…

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Q: Find the roots and turning point of the following equation: Y = -100 + 50X - 5x² O Roots 8.63,…

A: We need to determine the roots and turning point for the quadratic function: Y=-100+50x-5x2.

Q: Identify the case of the auxiliary solution: m6 + m5 – 20m² = 0 Select one or more: O a. Case 2-…

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Q: Without solving the equation, determine the discriminant and the nature of the roots. x 2 + 7x -…

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Q: Given: x3 - 2x2 - 7x - 4 = 0. Solve, a. List all possible rational roots. b. Use synthetic division…

A: Given x3-2x2-7x-4=0

Q: The following rational equation has denominators that contain variables. For this equation, a. Write…

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Q: other than the real root 2o , find the other 7 the equaton z 3 -용 +i and- 号- and 2 C. 늘 +i and 수 -…

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Q: One of the roots of the polynomial equation 2x^3 + 9x^2 - 33x + 14 = 0 is 2. Find the other roots. *…

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Q: The following equation is given x3 -5x2 -9x + 45=0. List all rational roots that are possible…

A: The given equation is x3-5x2-9x+45=0

Q: Q.No.3 Find the roots of the equation and also verify your answers. 2x-3x²+1-0

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Q: )  find all real solutions. Be sure to check for extraneous solutions. 2x + 17 =x + 5 x + 1

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Q: a) List all possible rational roots.,b) Use synthetic division to test the possible rational roots…

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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.