Answer:
<h2>
x²+7x-2 = 0</h2>
Step-by-step explanation:
The general form of a quadratic equation with roots a and b is expressed as shown;
x²-(sum of root) x + (product of roots) = 0
x² - (a+b)x + ab = 0 ... 1
Given the sum of roots a+b = -7
Product of roots ab = -2
Substituting this values in equation 1 above wil give;
x²-(-7)x+(-2) = 0
x²+7x-2 = 0
The resulting quadratic polynomial is x²+7x-2 = 0
Answer:
200 m.
Step-by-step explanation:
Step 1:
Length × Width = Area Equation
Step 2:
5 × 40 Multiply
Answer:
Area = 200
Hope This Helps :)
Answer:
w < -5
Step-by-step explanation:
A = P(1+r%)ⁿ , where P = initial value, A= new value, n = number of years and
r% is the growth or depreciation rate, depending on its sign:
If it's a depreciation, the formula becomes:
A = P(1 - r%)ⁿ
500 = 15000(1-0.3)ⁿ
500/15000 = (0.7)ⁿ
0.033333 = 0.7ⁿ
ln(0.03333) = n.ln(0.7)
n = ln(0.03333)/ln(0.7)
n = 9.5 years
Let:
L = Length
W = Width
The length is 7cm longer than its width, so:
The area is given by:
Therefore:
Solve for W using the quadratic formula:
![\begin{gathered} W=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ W=\frac{-7\pm\sqrt[]{7^2-4(1)(-240)}}{2(1)} \\ W=\frac{-7\pm\sqrt[]{1009}}{2} \\ W\approx12.38238 \\ or \\ W\approx-19.38238 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20W%3D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D%20%5C%5C%20W%3D%5Cfrac%7B-7%5Cpm%5Csqrt%5B%5D%7B7%5E2-4%281%29%28-240%29%7D%7D%7B2%281%29%7D%20%5C%5C%20W%3D%5Cfrac%7B-7%5Cpm%5Csqrt%5B%5D%7B1009%7D%7D%7B2%7D%20%5C%5C%20W%5Capprox12.38238%20%5C%5C%20or%20%5C%5C%20W%5Capprox-19.38238%20%5Cend%7Bgathered%7D)
Therefore:
W = 12.38238 since a negative width wouldn't make any sense
and:
Answer:
W = 12.38238 m
L = 19.38238 m
