Class 10th – Mathematics Unit 20: Theory of Quadratic Equations Exercise 20.7 (Q1 to Q9) – Sindh Board Exercise 20.7 Description Exercise 20.7 is based on finding the nature of roots of quadratic equations by using the discriminant method without solving the equation completely. A quadratic equation is written in the standard form: ax² + bx + c = 0, where a is not equal to zero The discriminant is given by: D = b² − 4ac Method for Questions 1 to 9 For each question from Q1 to Q9, the following steps are used: Compare the given equation with ax² + bx + c = 0 Identify the values of a, b, and c Substitute these values in the formula D = b² − 4ac Find the value of the discriminant Determine the nature of the roots Nature of Roots If the value of D is positive, the equation has two real and distinct roots If the value of D is zero, the equation has two real and equal roots If the value of D is negative, the equation has no real roots Conclusion In Exercise 20.7, Questions 1 to 9 help students understand how the discriminant determines the nature of roots of a quadratic equation. This exercise strengthens the basic concepts of quadratic equations and improves problem-solving skills. #Class10Math #Unit20 #QuadraticEquations #Exercise20_7 #SindhBoard #Discriminant #NatureOfRoots #MathsPreparation #BoardExam