Question

3x-2÷4=11 linear equation​

Answer 1

Answer:

3*x^2-4-(11)=0

Step by step solution :

STEP

1

:

Equation at the end of step 1

(3x2 - 4) - 11 = 0

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

3x2 - 15 = 3 • (x2 - 5)

Trying to factor as a Difference of Squares:

3.2 Factoring: x2 - 5

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 5 is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares.

Equation at the end of step

3

:

3 • (x2 - 5) = 0

STEP

4

:

Equations which are never true:

4.1 Solve : 3 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

4.2 Solve : x2-5 = 0

Add 5 to both sides of the equation :

x2 = 5

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:

x = ± √ 5

The equation has two real solutions

These solutions are x = ± √5 = ± 2.2361

Answer 2

Answer:

${} \huge \bf \pink{question}$

$\frac{3x - 2}{4} = 11$

${} \huge \boxed \green {answer}$

$\frac{3x -2 }{4} = 11$

$3x - 2 = 11 \times 4$

$3x - 2 = 44$

$3x = 44 + 2$

$3x = 46$

$x = \frac{46}{3}$

$x = 15.33$

hope it will help you.