Question

how many real root does the quadratic equations 2× ^ {2}+2×-2=0 have?​

Answer 1

Step-by-step explanation:

2x² + 2x - 2 = 0

Divide by 2

x² + x - 1 = 0

a = 1 , b = 1 , c = -1

b² - 4 ac = 1 - 4 (1) (-1) = 1 + 4 = 5

b² - 4ac > 0 implies that the roots are real and distinct

Fundamental Theorem of Algebra states that a polynomial with degree x has x real or complex roots

Therefore a quadratic equation has two roots (real or complex)

Hence , 2x² + 2x - 2 has two real roots