-x^2+50=25 solve the equation

Two solutions were found :

x = 5

x = -5

Step-by-step explanation:

Step  1  :

Trying to factor as a Difference of Squares :

1.1      Factoring:  25-x2

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 :  25  is the square of  5

Check :  x2  is the square of  x1

Factorization is :       (5 + x)  •  (5 - x)

Equation at the end of step  1  :

 (x + 5) • (5 - x)  = 0

Step  2  :

Theory - Roots of a product :

2.1    A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

2.2      Solve  :    x+5 = 0

Subtract  5  from both sides of the equation :

                     x = -5

Solving a Single Variable Equation :

2.3      Solve  :    -x+5 = 0

Subtract  5  from both sides of the equation :

                     -x = -5

Multiply both sides of the equation by (-1) :  x = 5

Two solutions were found :

x = 5

x = -5

Processing ends successfully

plz mark me as brainliest :)

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490

center= (-2,0)

radius= sqrt2/2

step-by-step explanation: