4x^2+7x-2<= 0
1) Let's solve in :
Given the quadratic form , you can calculate 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: =
As , the equation has two roots:
The quadratic formula gives = =
ⓘ The square root of a number is the positive number whose square is that number: = ; =
ⅰ =
ⓘ The numerator and the denominator are computed before the division: =
ⓘ We simplify the fraction by dividing the numerator and the denominator by , their greatest common divisor: =
The quadratic formula gives = =
ⓘ The square root of a number is the positive number whose square is that number: = ; =
ⅰ =
ⓘ The numerator and the denominator are computed before the division: =
ⓘ We simplify the fraction by dividing the numerator and the denominator by , their greatest common divisor: = =
The quadratic has the opposite sign to a = between its roots, so it is indeed negative between its roots; the roots, where it is zero, are included.
▶Solution found:
2) The numeric value of: equals:
▷
