Determine the nature of roots of the following quadratic equations: 1. - 10x + 7 = 0 2. - 5x + 4 = 0 3. 9x + 7 = 0 4. - 2x - 5 = 0 5. 5x - 8 = 0
Answer (1)
ANSWER EXPLANATION: Let's analyze each equation: 1. -10x + 7 = 0 a = 0, b = -10, c = 7Discriminant = b² - 4ac = (-10)² - 4(0)(7) = 100The discriminant is positive, so the equation has two real and distinct roots. 2. -5x + 4 = 0 a = 0, b = -5, c = 4Discriminant = b² - 4ac = (-5)² - 4(0)(4) = 25The discriminant is positive, so the equation has two real and distinct roots. 3. 9x + 7 = 0 a = 0, b = 9, c = 7Discriminant = b² - 4ac = (9)² - 4(0)(7) = 81The discriminant is positive, so the equation has two real and distinct roots. 4. -2x - 5 = 0 a = 0, b = -2, c = -5Discriminant = b² - 4ac = (-2)² - 4(0)(-5) = 4The discriminant is positive, so the equation has two real and distinct roots. 5. 5x - 8 = 0 a = 0, b = 5, c = -8Discriminant = b² - 4ac = (5)² - 4(0)(-8) = 25The discriminant is positive, so the equation has two real and distinct roots. HOPE IT HELPS you BETTER
