Question

solve the quadratic equation 5x square = 625​

Answer 1

Answer:

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Step-by-step explanation:

Step by step solution :

STEP

1

:

Equation at the end of step 1

5x2 - 625 = 0

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

5x2 - 625 = 5 • (x2 - 125)

Trying to factor as a Difference of Squares:

3.2 Factoring: x2 - 125

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 : 125 is not a square !!

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

Equation at the end of step

3

:

5 • (x2 - 125) = 0

STEP

4

:

Equations which are never true

4.1 Solve : 5 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Answer 2

Answer:

$5 \sqrt{5}$

Step-by-step explanation:

in the attached image.

Hope this is helpful...