• The value of the discriminant ,D= -16
,
• The solution to the quadratic equation is
Step - by - Step Explanation
What to find?
• The discriminant d= b² - 4ac
,
• The solution to the quadratic equation.
Given:
5x² - 2x + 1=0
Comparing the given equation with the general form of the quadratic equation ax² + bx + c=0
a=5 b=-2 and c=1
Uisng the quadratic formula to solve;
![x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D)
The discriminant D=b² - 4ac
Substitute the values into the discriminant formula and simplify.
D = (-2)² - 4(5)(1)
D = 4 - 20
D = -16
We can now proceed to find the solution of the quadratic equation by substituting into the quadratic formula;
![x=\frac{-(-2)\pm\sqrt[]{-16}}{2(5)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-%28-2%29%5Cpm%5Csqrt%5B%5D%7B-16%7D%7D%7B2%285%29%7D)
Note that:
√-1 = i
![x=\frac{2\pm\sqrt[]{16\times-1}}{10}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2%5Cpm%5Csqrt%5B%5D%7B16%5Ctimes-1%7D%7D%7B10%7D)
![x=\frac{2\pm\sqrt[]{16}\times\sqrt[]{-1}}{10}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2%5Cpm%5Csqrt%5B%5D%7B16%7D%5Ctimes%5Csqrt%5B%5D%7B-1%7D%7D%7B10%7D)
That is;
Answer:
AB=3.16
BC=6.32
CD=3.16
AD6.32
Step-by-step explanation:
The answer to this query is AA similarity postulate. <span>
<span>Because the triangles given are only similar in angle but
dissimilar in sides which makes it incongruent with respect to the sides, AA
similarity postulate is the exact answer.
SAS ASA are not possible answers. </span></span>
Answer:
A. The probability of event A
Step-by-step explanation:
The proportion of times a particular event A occurs is known as the probability of event A because the probability is the measure of uncertainty and by definition probability is calculated as
P(x)=X/n
where
P(x) is the probability of occurring of random variable X
X=number of favorable outcomes
and
n= total number of outcomes.
Thus, the proportion of times a particular event A occurs is known as the probability of event A.
1.25 in expanded form is, (1 x 1) + (2/10) + (5/100)
hope this helps
