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.
A. 34 times 21 divided by 2 is 357. area of a triangle is base times height divided by 2.
Answer:
width = 1 1/3 inches
length = 9 2/3 inches
Step-by-step explanation:
let 'w' = width
let '7+2w' = length
P = 2l + 2w
22 = 2w + 2(7+2w)
22 = 2w + 14 + 4w
8 = 6w
w = 4/3 or 1 1/3
substitute 1 1/3, or 4/3, to find length:
l = 7 + 2(4/3)
l = 7 + 8/3 or 9 2/3
Step-by-step explanation:
∆=3*6=18
[]=5*15=75
75+18=93 in squared
Answer:
The co-ordinates of the vertex of the function y-9= -6(x-1)^2 is (1, 9)
<u>Solution:</u>
Given, equation is 
We have to find the vertex of the given equation.
When we observe the equation, it is a parabolic equation,
We know that, general form of a parabolic equation is
Where, h and k are x, y co ordinates of the vertex of the parabola.
By comparing the above equation with general form of the parabola, we can conclude that,
a = -6, h = 1 and k = 9
Hence, the vertex of the parabola is (1, 9).
