Find the roots of the equation: y = 5x² + 4x - 19

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Identify Coefficients: Step Title: Identify the Coefficients Concise Step Description: Identify the coefficients of the quadratic equation, which are the numbers in front of the variables. In this case, the coefficients are 5, 4, and -19. Step Calculation: Coefficients are 5, 4, -19 Step Output: Coefficients: 5, 4, -19Calculate Discriminant: Step Title: Calculate the Discriminant Concise Step Description: Calculate the discriminant of the quadratic equation using the formula D = b² - 4ac, where a, b, and c are the coefficients of the equation. Step Calculation: D = 4² - 4(5)(-19) = 16 + 380 = 396 Step Output: Discriminant: 396Check Discriminant: Step Title: Check the Discriminant Concise Step Description: Check the discriminant to determine the nature of the roots. If the discriminant is positive, there are two real and distinct roots. Step Calculation: Since 396 is positive, there are two real and distinct roots. Step Output: Nature of roots: Two real and distinct rootsFind Roots: Step Title: Find the Roots Concise Step Description: Use the quadratic formula to find the roots of the equation. The quadratic formula is x = (-b ± √D) / (2a). Step Calculation: x = (-4 ± √396) / (2*5) = (-4 ± 2√99) / 10 Step Output: Roots: x = (-4 + 2√99) / 10 and x = (-4 - 2√99) / 10

Find the roots of the equation: $\newline$ $y = 5x^2 + 4x - 19$

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Find the roots of the equation:\newliney=5x2+4x−19y = 5x^2 + 4x - 19y=5x2+4x−19

Find the roots of the equation: $\newline$ $y = 5x^2 + 4x - 19$