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Determine the discriminant and then state how many solutions there are and the nature of the solutions. Do not solve.

3x^2+5x-8=0

Respuesta :

Answer: 121>0   121=11^2  so Discriminant is a perfect square

=> the equation has  2 roots, which real, distint  and  rational

Step-by-step explanation:

D=b^2 -4*a*c

b=5 ( coefficient near x)

a=3 (coefficient near x^2)

c=-8 ( coef without x)

D=25+4*3*8=25+96=121

121>0   121=11^2  so Discriminant is a perfect square

=> the equation has  2 roots, which real, distint  and  rational

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