Question

Complete the following activity to find the value of discriminant of the equation x² + 10x − 7 = 0.

Solution:

Comparing x² + 10x − 7 = 0 with ax² + bx + c = 0

a = 1, b = 10, c = `square`

∴ b² − 4ac = `square` − 4 × 1 × (−7)

= 100 + `square`

= `square`

Answer 1

Comparing x² + 10x − 7 = 0 with ax² + bx + c = 0

a = 1, b = 10, c = \[\boxed{-7}\]

∴ b² − 4ac = \[\boxed{10^2}\] − 4 × 1 × (−7)

= 100 + \[\boxed{28}\]

= \[\boxed{128}\]