Answer:
The value of (-6)2 - 4 • 1 • 13 is negative.
Step-by-step explanation:
To solve a quadratic equation we can solve by factoring, graphing or through the quadratic formula. The formula is as follows:
[tex]x=\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}[/tex]
When the square root value is less than 0, a real solution cannot be found. This means when [tex]b^{2}-4ac<0[/tex]. For the equation, a=1, b=-6 and c=13.
We substitute and simplify.
[tex]b^{2}-4ac=(-6)^2-4(1)(13)=36-4(13)=36-52=-16[/tex]
This gives us an imaginary solution because the value of (-6)2 - 4 • 1 • 13 is negative.
