a)2x²+7x+3=0
∆=7²-4*2*3=49-24=25
√∆=√25=5
x1=(-2-5)/4=-7/4
x2=(-2+5)/4=3/4
b)4x²-x-5=0
∆=(-1)²-4*4*(-5)=1+80=81
√∆=9
x1=(1-9)/8=-1
x2=(1+9)/8=5/4
c)3x²-5x-2=0
∆=25+24=49
√∆=7
x1=(5+7)/6=13/6
x2=(5-7)/6=-1/3
f)½x²-2x-1=0
x²-4x-2=0
∆=16+8=24
√24=2√6
x1=(4-2√6)2=2-√6
x2=2+√6
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a)2x²+7x+3=0
∆=7²-4*2*3=49-24=25
√∆=√25=5
x1=(-2-5)/4=-7/4
x2=(-2+5)/4=3/4
b)4x²-x-5=0
∆=(-1)²-4*4*(-5)=1+80=81
√∆=9
x1=(1-9)/8=-1
x2=(1+9)/8=5/4
c)3x²-5x-2=0
∆=25+24=49
√∆=7
x1=(5+7)/6=13/6
x2=(5-7)/6=-1/3
f)½x²-2x-1=0
x²-4x-2=0
∆=16+8=24
√24=2√6
x1=(4-2√6)2=2-√6
x2=2+√6