2x^4=50 factor and simplify all irrational and complex solutions

2x4 - 50

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

2x4 - 50 = 2 • (x4 - 25)

Trying to factor as a Difference of Squares:

3.2 Factoring: x4 - 25

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 : x4 is the square of x2

Factorization is : (x2 + 5) • (x2 - 5)

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation:

b. b < 1 might be the correct answer