2x^2+3x-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 sign of a = outside its roots, so it is indeed positive outside its roots; the roots, where it is zero, are excluded.
▶Solution obtained:
2) The numeric value of: is:
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