Question

the equation x^2-7x+3=x^2+5x-6 is a quadratic equation or not​

Answer 1

Answer:

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x = ±√ 1.667 = ± 1.29099

Step by step solution :

➡Step 1 :

Equation at the end of step 1 :

3x2 - 5 = 0

➡Step 2 :

Trying to factor as a Difference of Squares :

❥2.1 Factoring: 3x2-5

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 : 3 is not a square !!

Ruling : Binomial can not be factored as the

difference of two perfect squares

❥Equation at the end of step 2 :

3x2 - 5 = 0

➡Step 3 :

Solving a Single Variable Equation :

❥3.1 Solve : 3x2-5 = 0

❥Add 5 to both sides of the equation :

3x2 = 5

❥Divide both sides of the equation by 3:

x2 = 5/3 = 1.667

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

x = ± √ 5/3

❥The equation has two real solutions

❥These solutions are x = ±√ 1.667 = ± 1.29099

❥Two solutions were found :

x = ±√ 1.667 = ± 1.29099

Answer 2

Answer:

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