Use the quadratic formula to find the solutions for
-x^2 - 5x + 12 = 0

x1=-6.772

x2=1.772

Step-by-step explanation:

-x²-5x+12=0

For the general quadratic form: ax²+bx+c=0, the roots are found with formula:

x1,2=(-b +- sqrt(delta))/(2a)

where delta=b²-4ac.

In our case: a=-1, b=-5, c=12

delta=b²-4ac=(-5)²-4(-1)×12=25+48=73

Sqrt(delta)=sqrt(73)=8.544

x1,2=(5 +- 8.544)/(-2)

x1=-(5+8.544)/2=-13.544/2=-6.772

x2=-(5-8.544)/2=3.544/2=1.772

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