Asapwhat are the roots of the equation? x2−x−42=0 enter your answers in the boxes. x = and x =

x = - 6 and x = 7

given x² - x - 42 = 0 ← quadratic in standard form

(x - 7 )(x + 6) = 0 ← in factored form

equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 6 = 0 ⇒ x = - 6

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°