Exercises 14: Critical Thinking For each equation, calcu- late the discriminant. Use the discriminant to decide whether the equation can be solved by factoring. If it can, solve the equation by factoring. Otherwise, use the quadratic formula. 1. 8x + 14x - 15 = 0 2. 15x - 17x – 4 = 0 3. 5x - 3x - 3 = 0 4. 3x - 2x - 4 = 0

Q: What are the solutions of the quadratic equation? 2x2 - 16x + 32 = 0

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Q: Solve quadratic equation by completing the square. x2 + 6x - 5 = 0

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Q: Solve the quadratic equation by completing the square : x2 - 6x - 11 = 0

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Q: Compute the discriminant of  equation .What does the discriminant indicate about the number and type…

A: Comparing with

Q: Use the discriminant to determine the number and types of solutions of the quadratic equation. 4x? –…

A: Given quadratic equation:-    4x2 - 4x = -1

Q: Consider the quadratic x2 – 24x = 0. What number must be added to both sides of the equation in…

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Q: Solve quadratic equation. 3x2 - 27 = 0

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Q: Solve the quadratic equation by completing the square X2-6x-8=0

A: Given,

Q: Use the discriminant to determine the number and types of solutions of the quadratic equation. 9x -…

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Q: Solve the quadratic equation using any method. 4 (x+4)2 = 7

A: Given : 4(x+4)2 = 7

Q: Solve the quadratic equation using the quadratic formula : 3x2 = 6x - 1

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Q: a. Solutions represent the the graph of a quadratic equation. of

A: Given : A quadratic equation

Q: Solve the Quadratic equation by factorization x2 - 5x - 24 = 0

A: given that , x2-5x-24=0we have to solve the quadratic equation by factorization

Q: explain by when solving and graphing a quadratic equation in the form ax^2 + bx + c = 0, there may…

A: Note that roots are also known as the zeros or x intercepts. A quadratic equations graph represents…

Q: Solve the quadratic equation  3x2+ 5x+2= 0

A: To determine the solution of the quadratic equation.

Q: Identify the value of a, b and c in quadratic equation. Xsquared-15=0

A: The standard form is given by: Where a, b, and c are constants, or numerical coefficients, and x is…

Q: Value of a b and c in quadratic equation 2xsquared-7x-9=0

A: The standard form is given by: Where a, b, and c are constants, or numerical coefficients, and x is…

Q: Write the quadratic equation in standard form and then find the value of the discriminant for the…

A: Topic = Quadratic equation   As per guidelines , At a time only one question can be answered. please…

Q: Without solving the quadratic equation,x2 = 2x - 19 determine the number and type of solutions.

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Q: Solve the quadratic equation by completing the square : x2 + 4x + 1 = 0

A: The given quadratic equation to solve is  x2+4x+1=0 This has to be solved using completing the…

Q: Write the quadratic equation whose roots are 6 and 3, and whose leading coefficient is 4

A: Given two roots are , 6 and 3 and leading coefficient is 4 To form an Quadratic equations .

Q: Solve the quadratic equation r-8x-20=0

A: Given: x2-8x-20=0 To find: Solution of the equation

Q: Use the quadratic formula to solve the equation. y2-12y = - 29 %3D

A: Given : y2-12y = -29

Q: Write the quadratic equation in vertex form given vertex (O, 3), point (-1, 5) O y= -x? ++ 3 O y=…

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Q: Write a quadratic equation with -4 and 3/2 as its roots. Write the equation in the form ax2 + bx + c…

A: The given question can be solved as shown in step2.

Q: Write a quadratic equation in standard form that has solutions of x = -6 and x = 7.  a=   b=…

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Q: If using the method of completing the square to solve the quadratic equation a2 + 13z + 15 = 0,…

A: Given equation: x2+13x+15=0 To determine: The number added to the given equation to make it a…

Q: Solve a quadratic equation using the quadratic formula.  x2+5x=7

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Q: If using the method of completing the square to solve the quadratic equation x2 - 13x-7 = 0, which…

A: Given,            x2-13x-7=0

Q: a) -2 -1 1 4 y 5 -3 -4 -3 5 3. 2.

A: GIven x -2 -1 0 1 2 3 4 y 5 0 -3 -4 -3 0 5 To find  Equation which satisfies above table

Q: Q#5: Use the DISCRIMINANT to determine the number of real solutions of the equation and then SOLVE…

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Q: write the quadratic equation whose roots are -4 and 1, and whose leading coefficient is 3.

A: We have to find the the quadratic equation whose roots are -4 and 1, and whose leading coefficient…

Q: Solve the quadratic equation using the quadratic formula : x2 + 5x + 2 = 0

A: Forax2+bx+c=0x=-b±b2-4ac2a

Q: Complete the square to solve the quadratic equation  2x^ - 9x + 8 = 0

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Q: Solve the quadratic equation using the quadratic formula.  9x2-24x+16=0

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Q: Solve the quadratic equation 9x -15x +6=0 by the method of completing the square.

A: Explanation of the answer is as follows

Q: Solve using the quadratic equation: -12x2 + 2x - 9 = -11x2 – 16

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Q: Write the quadratic equation whose roots are  −5  and  1 , and whose leading coefficient is  2

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Q: Use the discriminant to determine the number and types of solutions of the quadratic equation. 2-…

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

Q: Solve the quadratic equation 9x^2-15x+6=0 by the method of completing the square

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Q: Reduce the quadratic equation below to its canonical form, identify it and build the outline of…

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Q: Arrange this quadratic equation in standard form (ax2+bx+c%3D0) and determine the value of a, b and…

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Q: What are the solutions of the quadratic equation? 2x2 – 16x + 32 = 0

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Q: Solve this equation of quadratic form: 3a2/3 + 5a1/3 - 2 = 0

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Q: Solve quadratic equation by completing the square. x2 - 6x - 11 = 0

A: To solve the given equation

Q: 3. Solve the equation using the quadratic formula. 3x - x- 10 = 0

A: we have to find the zeros of a quadratic equation 3x2-x-10=0

Q: Use the quadratic formula to solve the equation. '=y-3 12

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Q: Solve the quadratic equation using the quadratic formula : x2 + 5x + 3 = 0

A: Formula: The solution of the quadratic equation ax2+bx+c=0 is given by x=-b±b2-4ac2a.

Q: Given the quadratic equation, 5x-4 2x, identify a, b, c

A: General form of a quadratic equation is   ax2+bx+c=0   ---(1)   Given equation is  5x2-4=2x  This…

Q: Use the graphical method to solve the equation. 2x4 + 4x2 + 1 = 0

A: Given that, 2x4+4x2+1=0