What is the value of b2 - 4ac for the following equation 5x2 + 7x = 6?
A quadratic equation is in the form of ax2 + bx + = 0.
Answer: The value of b2 - 4ac that satisfies the equation 5x2 + 7x = 6 is 169.
Let's find the value of b2 - 4ac.
A discriminant of a quadratic equation is a function of the coefficients of the polynomials.
D = b2 - 4ac
As per the question, the equation can be written as 5x2 + 7x - 6 = 0
a = coefficient of x2, b = coefficient of x and c = constant term.
⇒ D = (7)2 - [4 × 5 × (-6)]
= 49 - 4 × ( - 30)
= 49 - (- 120 )