Solve the roots of equations as following mentioned. a)2x^2+x-528=0 using quadratic formula. b)5x^2-23x-12=0 using quadratic formula. c)x^2+13x+30=0 solve it by factoring method. d) 2x^2+x-300=0 solve it by factoring method.

Q: Explain how to solve x2 + 6x + 8 = 0 using the quadratic formula.

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Q: Find the quadratic equation if the roots are 3 and - 4.

A: Quadratic equation with roots a and b is x2-(sum of the roots)x + product of the roots =0…

Q: Compute the discriminant of 4x2 - 8x + 1 = 0. What does the discriminantindicate about the number…

A: The discriminant of 4x2 - 8x + 1 = 0 is:

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

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Q: Describe the nature of the roots of the equation 49x^2-28x+4=0

A: Given that, 49x^2-28x+4=0

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

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Q: How can the equation -2x2 + 3x + 4 = -7 be solved and why? Only by using the quadratic formula…

A: We have to solve the equation by quadratic formula

Q: By using the method of completing the square. Show that the equation 4x2 + 3x + 5 = 0 has no real…

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Q: One leg of the right triangle is 6 cm longer than the other leg. The length of the height from the…

A: To find the length of the hypotenuse without using the quadratic formula.

Q: Construct an equation whose roots are less than 4 of the roots of x'+3x –12x-10=0

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Q: Obtain all four roots of the equation = ++-0, and then express * +4 as product of quadratic factors…

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Q: Determine the roots of the equation by factoring 3x2 – x – 4 = 0. Verify the roots and be sure to…

A: Factoring the quadratic equation can be defined as the process of breaking the equation into the…

Q: Solve the quadratic equation by completing the square. x² -4x-3=0 First, choose the appropriate form…

A: x2-4x-3=0 On simplification, we get ⇒x2-4x+4-7=0⇒x-22-7=0⇒x-22=7

Q: What are the roots of the equation 2x² + 11x = -20 in simplest a + bi form?

A: In the question it is asked to calculate the roots of 2x2+11x=-20 and express the complex roots in…

Q: Solve for the roots  3x3-11x2+5x+3

A: We have to find the roots of the polynomial 3x3−11x2+5x+3. For the roots of the polynomial, solve…

Q: solve using the quadratic formula

A: We need to solve the quadratic equation.

Q: 2, i, Find out the roots of the following by completing the square. 5x^2-2х-4-0

A: To Find: the roots of the following by completing the square: 5x2-2x-4=0.

Q: Without solving, determine the character of the solution ofthe quadratic equation 4x2 - 28x + 49 = 0…

A: For a quadratic equation ax2+bx+c=0 the solution is given by the quadratic formula -b±b2-4ac2a. The…

Q: Find the complex solutions of the equation 2x + 2x + 3 = 0 using th quadratic formula. -1 tiV5 -1…

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Q: What are the roots of the equation 16x - 64x + 65 = 0 in simplest a + bi form? %3D

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Q: Show complete solution. Solve for the roots using algebraic method. 16x+ - 1

A: To Solve: The roots of 16x4-1 using algebraic method.

Q: 3xー12x-3×ナ2

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Q: Without solving, determine the character of the solutions ofthe quadratic equation 4x2 - 28x + 49 =…

A: Given:  4x2 - 28x + 49 = 0

Q: The rectangular lot has a dimension of (3x+5) meters by (2x+4) meters. If the area is equal to…

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Q: using the method of completing the square , show that the equation 4x2+3x+5=0 has no real roots

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Q: 2) Find the length of the legs of a right triangle whose hypotenuse is 26 cm and whose area is 120…

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Q: Solve for the roots in simplest form using the quadratic formula: 4x2 + 4x = 3 %3D

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Q: Show complete solution. Solve for the roots using algebraic method. 3x³-11x² + 5x+3

A: Solve: For the roots of 3x3-11x2+5x+3 using algebraic method.

Q: 4. Determine the roots of the equation x + 2x - 15. x + 2x = 15

A: Here, to determine the roots of the equation: x2+2x=15...(1)

Q: Show complete solution. Solve for the roots using algebraic method. 4x²-5x-2

A: Use Dharacharya method

Q: Show that in general, the sum of the roots of a quadratic equation ax² + bx + c = 0 is whereas the…

A: We have to solve given problem:

Q: How would I solve this equation using the quadratic formula. Write all irrational solutions and…

A: We will solve the problem

Q: Determine the roots of the equation by factoring 3x2 - x - 4 = 0. Verify the roots and be sure to…

A: Given equation is: 3x2-x-4=0

Q: Find the sum of the squares and sum of the squares of reciprocals of roots of equation…

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Q: 2. In the equation x² + 40x +n = 0 , findn if one root is 3 times larger than the other root.…

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Q: find the nature of root of 2x2-4x+3=0

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Q: A motor boat is set to head north-east from the mainland to the near island, lying approximately 15…

A: Maximum speed of boat is 15×6025=36 kmph

Q: If one root of the equation X²-Ax+b is 3more than the other root. Find b in terms of a

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Q: Use the meaning of cube roots to show how to find an exact solution to the equation Vx + 2 = -2.

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Q: Explain how to determine the number and type of roots (both real and imaginary) from the…

A: Consider a quadratic equation, ax2+bx+c=0 The discriminant D of a quadratic equation can be defined…

Q: Solve for the roots in simplest form using the quadratic formula: 4x2 + 29 = –12x %3D

A: We can find the roots of a quadratic equation by using the Shree Dhara acharya formula as:-…

Q: If the discriminant of a quadratic equation is greater than zero, the roots of the equation are:…

A: The polynomial equation whose highest degree is two is called a quadratic equation. The discriminant…

Q: Solve for the roots 16x4-1

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Q: Should I check irrational solutions by substitution in the given quadratic equation 2x2 - 6x + 1 =…

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Q: This equation is not quadratic, because it contains a term involving x³. However, we can solve it by…

A: The zeroes of a function in a variable are the values of the variable at which the value of the…

Q: What are the roots of the equation 4x² = 5x – 3 in simplest a + bi form?

A: Given : 4x2 = 5x-3