Step-by-step explanation:
Let √x - 1/√x = a
Squaring both the sides,
x + 1/x - 2 = a^2
Putting the value,
3–2√2 + 1/(3–2√2) - 2 = a^2
a^2 = 1 - 2√2 + 1/(3–2√2)
= [(3–2√2) (1–2√2) + 1] / 3–2√2
= {3 - 8√2 + 9} / 3–2√2
= [12 - 8√2] / 3–2√2
Rationalising both the sides
= {(12 - 8√2)(3+2√2)} ÷ (9–8)
= 36 + 24√2 - 24√2 + 16(2)
= 36 - 32
=> 4
a^2 = 4
a = √4
a = 2, -2
So,
√x - 1/√x = a = 2, -2.
2,904$ per month. I hope this helped
Answer:
- Step 1, all the exponents are increased by 4
Step-by-step explanation:
<u>The three steps are</u>
- (x⁻² × y⁴ /y × x⁴ × x⁴ × y⁻²)⁴ =
- x²×y⁸/y⁴×x⁸×x⁸×y² =
- x²×y⁸/y⁶×x¹⁶
<u>Correct solution should be:</u>
- (x⁻² × y⁴ /y × x⁴ × x⁴ × y⁻²)⁴ = all powers inside the parenthesis should be multiplied by 4 as per power of the power (xᵃ)ᵇ = xᵃᵇ
<u>This would give next steps:</u>
- x⁻⁸×y¹⁶/y⁴×x⁸×x⁸×y⁻⁸ =
- x⁻⁸×y¹⁶/x¹⁶×y⁻⁴ =
- y²⁰/x²⁴
<u>Answer options:</u>
Step 1, all the exponents are increased by 4
- There should be multiplication of powers. (It is close option but is not fully correct as not all the exponents increased by 4, for example y became y⁴)
Step 2, the exponents of the same base are added during multiplication
Step 3 wasn't performed yet, there was step 1 and 2.
- So answers about step 3 are irrelevant
