Problem

QUESTION 1
Quadratic Equation
Choose one $\cdot 5$ points
1. Solve $x^{2}+4 x-5=0$ using the quadratic formula
\[
x_{1}=1, x_{2}=-5
\]
\[
r_{1}=1, x_{2}=5
\]
\[
x_{1}=-1, x_{2}=-5
\]

Answer

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Answer

Final Answer: The solutions to the equation are \(\boxed{x_{1}=-5, x_{2}=1}\)

Steps

Step 1 :Given the quadratic equation \(x^{2}+4 x-5=0\)

Step 2 :Identify the coefficients as \(a = 1\), \(b = 4\), and \(c = -5\)

Step 3 :Calculate the discriminant \(D = b^2 - 4ac = 36\)

Step 4 :Use the quadratic formula to find the solutions for x: \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)

Step 5 :Substitute the values into the formula to get \(x_1 = -5.0\) and \(x_2 = 1.0\)

Step 6 :Final Answer: The solutions to the equation are \(\boxed{x_{1}=-5, x_{2}=1}\)

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