I think what you meant was
(2x - 5)² = 11 -- (1)
Square root both sides of (1), i.e.
√(2x - 5)² = ± √11 -- (2)
From (2), we have
2x - 5 = ± √11 -- (3)
By adding 5 to both sides in (3), we have
2x = 5 ± √11 -- (4)
Divide both sides of (4) by 2, and we obtain
x = (5 ± √11)/2 -- (5)
From (5), the solution set of (1) is
x = (5 + √11)/2, (5 - √11)/2 ...Ans.
Answer:
Simplified: 0.024
Step-by-step explanation:
Answer:
180 miles
Step-by-step explanation:
The are moving towards each other at 50 mph and 40 mph which is the same as 90 mph. They are moving 90 mph closer to each other every hour so in 2 hours it would be 180 miles.
Answer:
4 = 3x
Step-by-step explanation:
9-5=9x-6x
Combine like terms
4 = 3x
We can solve for x
Divide by 3
4/3 = 3x/3
4/3 =x
Answer:
The answer to your question is:
x 1 = -0.65
x2 = 7.65
Step-by-step explanation:
Equation -x² + 7x + 5 = 0
a = -1
b = 7
c = 5
Quadratic formula x = -b ±√(b² -4ac) / 2a
x = - 7 ± √(7² -4(-1)(5) / 2(-1)
x = -7 ± √(49 + 20) / -2
x = -7 ± √69 / -2
x = - 7 ± 8.3 / -2
x1 = -7 + 8.3 / -2 x2 = -7 -8.3 / -2
x 1 = -0.65 x2 = 7.65