Question

3x–1 – 3x–3 = 8, then the value of (x2 – x + 4) is

pl give step by step explanation
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Answer 1

Answer:

Step-by-step explanation:

3x-1-3x-3=8    combine like terms

x-4=8         add

+4  +4

x = 12

(x2-x+4)

2x times 2 +4

-4

4x

x

Answer 2

Value of x² - x + 4 is 10  if 3ˣ⁻¹ – 3ˣ⁻³ = 8

Given:

• 3ˣ⁻¹ – 3ˣ⁻³ = 8  ( Correction in Question)

To Find:

• Value of x² - x + 4

Solution:

• Laws of exponents
• $\begin{align} & {{\text{a}}^{n}}\times {{a}^{-n}}=1\text{ or }{{\text{a}}^{n}}=\frac{1}{{{a}^{n}}} \\ & {{a}^{m}}\times {{a}^{n}}={{a}^{m+n}} \\ & \frac{{{a}^{m}}}{{{a}^{n}}}={{a}^{m-n}} \\ & {{\left( {{a}^{m}} \right)}^{n}}={{\left( {{a}^{n}} \right)}^{m}}={{a}^{mn}} \\ & {{a}^{m}}\times {{b}^{m}}={{\left( ab \right)}^{m}} \\ & \frac{{{a}^{n}}}{{{b}^{n}}}={{\left( \frac{a}{b} \right)}^{n}} \\ & {{a}^{0}}=1 \\ \end{align}$

3ˣ⁻¹ – 3ˣ⁻³ = 8

Step 1 :

Taking 3ˣ⁻³ common on LHS and solving

3ˣ⁻³ (3² - 1) = 8

=> 3ˣ⁻³ (9 - 1) = 8

=> 3ˣ⁻³ (8) = 8

=> 3ˣ⁻³  = 1

Step 2 :

Using a⁰ = 1  equate  x - 3 with 0

x - 3 = 0

=> x = 3

Step 3 :

Substitute x= 3 in x² - x + 4 and calculate the value

3² - 3 + 4

= 9 - 3 + 4

= 6 + 4

= 10

Value of x² - x + 4 is 10  if 3ˣ⁻¹ – 3ˣ⁻³ = 8

( Although your Question is complete but not typed Correctly , correct Question would be if  3ˣ⁻¹ – 3ˣ⁻³ = 8  and to find value of  x² - x + 4)