7g^2-7g-5=0
1) Let's solve in :
Given the quadratic form , let's compute the discriminant: . Here , and
ⓘ Powers are computed before multiplications, additions and subtractions. An integer power is a repeated product: = = ■Multiplications are done before additions and subtractions: = ■Two minus signs cancel out, the product of two negative numbers is positive: =
ⓘ Multiplications are done before additions and subtractions: = = = =
ⓘ Start from and move forward on the number line: =
Since , the equation has two roots:
The quadratic formula gives = =
ⓘ We look for the largest square dividing , = , and take it out of the root: = = =
ⅰ =
The quadratic formula gives = =
ⓘ We look for the largest square dividing , = , and take it out of the root: = = =
ⅰ =
▶Solutions obtained:
2) The numeric value of: is:
▷
