Question

Resolva as equaçoes abaixo pela formula de bhaskara: a)(2x-3)²=25

Answer 1

(2x-3)²=25

(2x-3)*(2x-3)=25

4x²-6x-6x+9=25

4x²-12x+9-25=0

4x²-12x-16=0

usando Bhaskara:

a=4,b=-12,c=-16

∆=b²-4ac

∆=(-12)²-4*4*(-16)

∆=144+256

∆=400

x=(-b±√∆)/2a

x=(-(-12)±√400)/2*4

x=(12±20)/8

x'=(12+20)/8

x'=32/8

x'=4

x"=(12-20)/8

x"=-8/8

x"=-1