Answer:
Number 1: x≈4.9412824
Number 2: x=3√10,−3√10x=310,-310
Decimal Form:
x=9.48683298...−9.48683298...
Number 3: x≈−5.04938819
Number 4: x=−1+2√6,−1−2√6x=-1+26,-1-26
Decimal Form:
x=3.89897948…,−5.89897948…
Number 5: x=−7+√93,−7−√93x=-7+93,-7-93
Decimal Form:
x=2.64365076…,−16.64365076…
Number 6: x=1+i√3910,1−i√3910
The formula for the discriminant is the square root of b^2 - 4ac
8x^2+18x-5= 0
a = 8, b=18, c= -5
Square root of 324 +160
Square root of 484 = 22 The discriminant is 22