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).
x = 11/5 = 2.200 hope this helps
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Answer: X= -9
Step-by-step explanation:
Multiply the 5 by x+4 then copy the -3x+3=5. It will be 5x+20-3x+3=5.
Then subtract or add the like terms
5x-3x and 20+3. It will be 2x+23=5
Then add -23 to both sides
It will be 2x+23-23=5-23 then solve it will be 2x=-18 then divide both sides by 2 to find the value of x
2x/2=-18/2 then the final answer is x= -9. I hope it help
Answer:
Step-by-step explanation:
W(-4,-10) lies on third quadrant.
M(-12,0) lies on second quadrant or can say in x axis
C(8,3) lies on first quadrant.
K(11,-5) lies on fourth quadrant.
Answer:
A
Step-by-step explanation:
To determine if the ordered pairs lie on the graph, substitute the x- coordinate of the point into the equation and if the value agrees with the y- coordinate of the point then it lies on the graph
A
x = - 2 : y = -2(- 2) + 7 = 4 + 7 = 11 ≠ 3 ← (-2,3) not on graph
B
x = - 1 : y = - 2(- 1) + 7 = 2 + 7 = 9 ← (- 1, 9) lies on graph
C
x = 3 : y = -2(3) + 7 = - 6 + 7 = 1 ← (3, 1) lies on graph
D
x = 4 : y = - 2(4) + 7 = - 8 + 7 = - 1 ← (4, - 1) lies on graph
