Question

solve the equation 7x^2 + 1.5x - 13.5 = 0 by factorization​

Answer 1

Explanation:

7x^2+1.5x-13.5=0

a = 7; b = 1.5; c = -13.5;

Δ = b2-4ac

Δ = 1.52-4·7·(-13.5)

Δ = 380.25

The delta value is higher than zero, so the equation has two solutions

We use following formulas to calculate our solutions:

x1=−b−Δ√2a

x2=−b+Δ√2a

x1=−b−Δ√2a=−(1.5)−380.25√2∗7=−1.5−380.25√14

x2=−b+Δ√2a=−(1.5)+380.25√2∗7=−1.5+380.25√14