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# Quadratic Formula

QuestionAnswer
What is the Quadratic Formula? A quadratic formula is written as ax<sup>2</sup> + bx + c = 0 has the solutions: x=-b±√(b<sup>2</sup>-4ac)/2a
Use the Quadratic formula to solve the equation:<br /> 2x=5x<sup>2</sup>-3 -3/5, 1
Use the Quadratic formula to solve the equation:<br /> y<sup>2</sup>+5y = -2 -5-√(17)/2, -5+√(17)/2
What benefit does knowing the discriminant of a quadratic equation help with in finding a solution to an equation? Knowing the discriminant, one can predict the possible outcome of a quadratic equation.
Use the discriminant to determine the number and types of solutions to the equation:<br /> 4x<sup>2</sup>+12x=-9 This equation has one real solution.
Use the discriminant to determine the number and types of solutions to the equation:<br /> 9y-2y<sup>2</sup>+5=0 This equation has two real solutions.
Solve:<br /> 2x = √(11x + 3) 3
Solve:<br /> 2x<sup>2/3</sup>+3x<sup>1/3</sup>-2= 1/8, -8
Solve:<br /> 27x<sup>4</sup>+15x<sup>2</sup>=2 -1/3, 1/3, -i√(6)/3, i√(6)/3
Use the Quadratic formula to solve the equation :<br /> (m + 2)(2m - 6)= 5(m - 1) - 12 5/2, 1
Created by: bytetroll