Answer:
x = ±
Step-by-step explanation:
-8 - 8x^2= -31
Since this is a quadratic, it needs to be factored.
First, move the x to the other side:
-8 = 8x^2 - 31
Then, get the x alone by first adding 31:
23 = 8x^2
then dividing by 8:
x^2 = 23/8
Finally, square root both sides and remember the even roots property:
x = ±
and simplify the root 8:
x = ±
Note: This answer may have a mistake.
Answer:
No <em>real</em> solutions (or has two complex roots)
Step-by-step explanation:
The discriminant, <em>b</em>² - 4<em>ac</em>, is the expression (<u><em>radicand </em></u>) of the quadratic equation:
.
The value of the discriminant determines the <u>nature</u> and the <u>number of solutions</u> given by the quadratic equation.
A discriminant with a negative value (or b² - 4ac < 0 ) means that the quadratic equation has no real solutions or two complex solutions. Quadratic equations with a negative discriminant also have no x-intercepts; thus, its graph will not cross the x-axis.
