Answer:
Step-by-step explanation:
Lets say we have a quadratic equation:
3x^2 + x + 0 = 0
Now, since if we add or subtract 0 from something, the original value stays the same, which means we can write the equation as 3x^2 + x = 0 and ignore the “+0”.
In these kinds of equations, you /can/ use the quadratic formula, but theres a much quicker way. If we factor 3x^2 + x, we get x(3x + 1) = 0. Here, x has two possible values — since the result of the multiplication is 0, that means that either one expression or the other must equal 0. In essence:
If x(3x+1) = 0 then x = 0 or 3x+1 = 0
One of the solutions is that x = 0. Lets find the other.
3x+1=0
3x= -1
x = -1/3
So x1 = 0 and x2 = -1/3. So basically you solve these equations using basic factorization. :)
- 1.49/6 = 0.248 per oz
- 3.59/13 = 0.276 per oz
<h3>lowest price is A. 6 oz for 1.49</h3>
Hope it helps!
Answer:
x = 3√2 units.
Step-by-step explanation:
Let Δ ABC is a right triangle with ∠ ABC = 90°.
We draw an altitude from B on AC at point D and AD = CD = 3 units.
We have to find x.
Now, BD is the perpendicular bisector of side AC and hence, Δ ABC is a right isosceles triangle.
So, AB = BC = x
And AC = 3 + 3 = 6 units.
So, applying Pythagoras Theorem, AB² + BC² = AC²
⇒ x² + x² = 6²
⇒ 2x² = 36
⇒ x² = 18
⇒ x = 3√2 units. (Answer)
