Question

What is the value of b2 - 4ac for the following equation? 5x2 + 7x = 6

Answer 1

b²-4ac?

5x²+7x-6 = 0
the form is ax²+bx+c = 0

a=5, b=7, c=-6


The discriminant D = b²-4ac
= 7² - 4(5)(-6) = 49 + 120
= 169

Answer 2

`\text{The value of }(b^2-4ac)\thinspace is\thinspace 169`

Explanation:

Given the equation
`5x^2 + 7x = 6`

we have to find the value of
`b^2-4ac`

Equation:
`5x^2+7x-6=0`

Comparing above with general quadratic equation
`ax^2+bx+c=0`

we get, a=5, b=7 and c=-6

`b^2-4ac=(7)^2-4(5)(-6)=49+120=169`

Hence,

`\text{The value of }(b^2-4ac)\thinspace is\thinspace 169`