The hypotenuse of a right triangle has a length of 13cm the longer of the two legs is 7cm longer than the shorter leg

Let's say the shorter side is x.

So, the longer side would be ( 7 + x )

Now we have to use the Pythagorean Theorem to find the value of x.

a² + b² = c²

( 7 + x )² + x² = 13

7² + x² + x² = 13²

49 + 2x² = 169

2x² = 169 - 49

2x² = 120

x² = 60

x = √60

So the longer side is ( 7 + √60 ) and the shorter side is √60

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.