Question

resolsa as equações completando o quadrado:

Answer 1

.a)x²+6x=40
x²+6x-40=0
Fórmula de Bhaskara:
x=-6±√(6²)-4.1.-40/2.1
x=-6±√36+160/2
x=-6±√196/2

x1=-6+14/2=8/2=4
x2=-6-14/2=-20/2=-10

b)x²+8x=9
x²+8x-9=0
Fórmula de Bhaskara:
-8±√(8)²-4.1.-9/2.1
-8±√64+36/2
-8±√100/2

x1=-8+10/2=2/2=1
x2=-8-10/2=-18/2=-9

C)x²+4x=140
x²+4x-140=0
Fórmula de Bhaskara:
-4±√(4)²-4.1.-140/2.1
-4±√16+560/2
-4±√576/2

x1=-4+24/2=20/2=10
x2=-4-20/2=-24/2=-12

d) x²-10x=39
x²-10x-39=0
Fórmula de Bhaskara:
+10±√(-10)²-4.1.-39/2.1
10±√100+156/2
10±√256/2

x1=10+16/2=26/2=13
x2=10-16/2=-6/2=-3

e) x²+5x= -6
x²+5x+6=0
Fórmula de Bhaskara:
-5±√(5)²-4.1.6/2.1
-5±√25-24/2
-5±√1/2

x1=-5+1/2=-4/2=-2
x2=-5-1/2=-6/2=-3

Espero ter ajudado