Answer:
x = 2 or x = -2
Step-by-step explanation:
5x² - 15 = 5
⇌
5x² = 15 + 5
⇌
5x² = 20
⇌
x² = 20/5 = 4
⇌
x² = 2²
⇌
x² - 2² = 0
⇌
(x - 2)(x + 2) = 0
⇌ we use the zero product property
x - 2 = 0 or x + 2 = 0
⇌
x = 2 or x = -2
Answer:
The sports facility is 2,960,000 sq. m in area.
Step-by-step explanation:
The dimension of the sport facility = 0.74 km by 4 km
The Length of the facility = 4 km
The width of the facility = 0.74 km
Now, 1 km = 1000 meters
⇒ 4 km = 4 x (1000) = 4000 meters
and 0.74 km = 0.74 x (1000) = 740 meters
Now, AREA OF THE RECTANGLE = LENGTH x WIDTH
So, the area of the facility = 4000 m x 740 km
= 2,960,000 sq. m
Hence, the sports facility is 2,960,000 sq. m in area.
The value of h is 9/12 and the value of k is 35/48
<h3>How to solve the equation?</h3>
The equation is given as:
6x^2 +9x - 1 = 0
Add 1 to both sides of the equations
6x^2 +9x - 1 + 1= 0 + 1
Evaluate the sum
6x^2 +9x = 1
Divide through the equation by 6
x^2 +9/6x = 1/6
Take the coefficient of x
k = 9/6
Divide by 2
k/2 = 9/12
Square both sides
(k/2)^2 = (9/12)^2
So, we add (9/12)^2 to both sides of the equation x^2 +9/6x = 1/6
x^2 +9/6x + (9/12)^2 = 1/6 + (9/12)^2
Next, we express the left-hand side as a perfect square
(x^2 + 9/12)^2 = 1/6 + (9/12)^2
The form of the equation is given as:
(x + h)^2 = k
So, we have:
h = 9/12
k = 1/6 + (9/12)^2
Simplify
k = 1/6 + (3/4)^2
Evaluate the exponent
k = 1/6 + 9/16
This gives
k = (8 + 27)/48
Evaluate
k = 35/48
Hence, the value of h is 9/12 and the value of k is 35/48
Read more about completing the square at:
brainly.com/question/4331586
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10 and 8 over 25 I just guess
