Answer:
Step-by-step explanation:
We have given:
√2x+3 - √x+1 = 1
First of all isolate the square root of the left hand side:
√2x+3 = √x+1 +1
Now take square on both sides.
(√2x+3)^2 = (√x+1 +1)^2
Open the R.H.S by squaring formula.
∴(a+b)^2 = a^2+2ab+b^2
2x+3 = (√x+1)^2 + 2(√x+1)(1)+(1)^2
2x+3 = x+1 +2√x+1 +1
2x+3 = x+2 +2√x+1
Combine the like terms:
2x-x+3-2 = 2√x+1
x+1 = 2√x+1
Take square on both sides
(x+1)^2 = (2√x+1)^2
x²+2x+1 = 4x+4
x²+2x-4x+1-4 = 0
x²-2x-3 = 0
Now solve the quadratic equation:
a = 1 , b= -2 , c = -3
x = -b+/-√b²-4ac/2a
x = -(-2)+/-√(-2)² - 4(1)(-3) / 2(1)
x = 2 +/- √4+12 / 2
x = 2+/- √16/2
x = 2+/- 4 /2
x = 2+4/2 , x = 2-4/2
x = 6/2 , x = -2/2
x = 3 , x = -1
The solutions we get is (3, -1).
Answer:
<h2>
1/9</h2>
Step-by-step explanation:
Given the sample space of a die S=(1,2,3,4,5,6)
and the sample size=6
the probability of obtaining the number 1 Pr(1)= 1/6= 1/6
the probability of obtaining the number 6 Pr(1)= 6/6= 1
the probability of obtaining the number 4 Pr(1)= 4/6= 2/3
Hence the probability of P(1,6,4) = 
60/40 = 1.5 So Renee will need to drive 40miles 1.5 times in order to
cover 60 miles.
Since her speed is exactly 40 mph, she'll need to keep it up for <em>1.5 hours</em>.
Answer:
Mathematics can be completed through the use of logical thinking and the use of equations to figure out various problems.
