2x^2 + x + 3=0 has only complex roots.
The determinant is 1-4*2*3 = -23
-23 (or any determinant) is the part under the square root sign, If that determinant is negative, knowing you cannot take the square root of a negative number, we know the answers must be complex.
Answer:
21 is 84% to 25, so there would be 25 total questions on the test
Answer:
The weight of the object is 3 kg.
Step-by-step explanation:
<u>Step 1:
</u>
Let object weight be x kg.
Now, as per the available data,
3/4 kg + 3/4 (x kg) = x kg
<u>Step 2:
</u>
3/4 (1 + x) = x
1 + x = 4x/3
1 = x (4/3 - 1)
x = 1 / (1/3)
x = 3
Weight of Object is 3 kg.
<u>Step 3:
</u>
Let's check if this value satisfies the first equation.
3/4 + 3/4 x 3 = 3/4 + 9/4 = 12/4 = 3
Hence proved.
Y = 7x^2-3
x=7y^2-3
.......................
Answer:
f(x) = (8/3)x(x - 1).
Step-by-step explanation:
The vertex form of the function is
y = a(x - 1/2)^2 - 2/3 where a is some constant.
Now the roots are 0 and 1 so
For x = 0
0 = a(-1/2)^2 - 2/3
1/4 a = 2/3
a = 2/3 / 1/4 = 8/3.
So the function is
f(x) = (8/3)(x - 1/2)^2 - 2/3.
3 f(x) = 8(x - 1/2)^2 - 2
= 8(x^2 - x + 1/4) - 2
= 8x^2 - 8x + 2 - 2
3 f(x) = 8x(x - 1)
f(x) = (8/3)x(x - 1).
