Multiple Choice
Using the quadratic formula, what are the solutions to ?
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5. BONUS: Mathematical Operations and Functions
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
Using the quadratic formula, what is the solution set of ?
A
B
C
D
Verified step by step guidance1
Identify the coefficients in the quadratic equation \(x^2 + 5x - 5 = 0\). Here, \(a = 1\), \(b = 5\), and \(c = -5\).
Recall the quadratic formula for solving \(ax^2 + bx + c = 0\):
\[x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\]
Calculate the discriminant \(\Delta = b^2 - 4ac\). Substitute the values:
\[\Delta = (5)^2 - 4(1)(-5)\]
Simplify the discriminant expression to find its value (do not calculate the final number here, just set up the expression).
Substitute \(a\), \(b\), and the discriminant \(\Delta\) back into the quadratic formula to write the solution set as:
\[x = \frac{-5 \pm \sqrt{\Delta}}{2}\]
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