the equation 3x^2-5=0 a quadratic equation or not..?
Answers
Step-by-step explanation:
Here,
3x² - 5 = 0
in this equation , the highest power of the variable x is 2 .so, it is called a second degree equation hence, a second degree equation of one variable is called as the quadratic equation
Answer:
HellŌ
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