Textbook Question
Solve each equation. 4x⁴+3x²-1 = 0
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1. Equations & Inequalities
The Quadratic Formula
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Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
Determine the number and type of solutions of the given quadratic equation. Do not solve.
A
2 real solutions
B
1 real solution
C
2 imaginary solutions
Verified step by step guidance1
Identify the standard form of a quadratic equation, which is ax^2 + bx + c = 0. In this case, the equation is -4x^2 + 4x + 5 = 0, where a = -4, b = 4, and c = 5.
To determine the number and type of solutions, calculate the discriminant using the formula: D = b^2 - 4ac.
Substitute the values of a, b, and c into the discriminant formula: D = (4)^2 - 4(-4)(5).
Simplify the expression to find the value of the discriminant.
Interpret the discriminant: If D > 0, there are 2 real solutions; if D = 0, there is 1 real solution; if D < 0, there are 2 imaginary solutions.
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