Q. What is the discriminant of the quadratic equation 4x2+5x−3=0 ?2373−23−73
Identify Coefficients: Step Title: Identify the Coefficients of the Quadratic EquationConcise Step Description: Identify the coefficients of the quadratic equation to use in the discriminant formula.Step Calculation: The coefficients are a=4, b=5, and c=−3.
Recall Formula: Step Title: Recall the Discriminant FormulaConcise Step Description: Recall the formula for the discriminant of a quadratic equation, which is D=b2−4ac.Step Calculation: No calculation needed at this step.
Calculate Discriminant: Step Title: Calculate the DiscriminantConcise Step Description: Substitute the identified coefficients into the discriminant formula to find the value of the discriminant.Step Calculation: D=(5)2−4(4)(−3)=25+48=73