①x2-8x-7=0②x2+14x-15=0③t2-(2/3)t-(8/9)=0④4(x+3)2-9(x-2)2=0

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①x2-8x-7=0②x2+14x-15=0③t2-(2/3)t-(8/9)=0④4(x+3)2-9(x-2)2=0
①x2-8x-7=0②x2+14x-15=0③t2-(2/3)t-(8/9)=0④4(x+3)2-9(x-2)2=0

①x2-8x-7=0②x2+14x-15=0③t2-(2/3)t-(8/9)=0④4(x+3)2-9(x-2)2=0
①x2-8x-7=0
Δ=64+4×7=64+28=92;
x=(8±2√23)/2=4±√23;
(②x2+14x-15=0
(x+15)(x-1)=0;
x=1或x=-15;
③t2-(2/3)t-(8/9)=0
(t-4/3)(t+2/3)=0;
t=4/3或t=-2/3;
④4(x+3)2-9(x-2)2=0
4(x+3)²=9(x-2)²;
2(x+3)=±3(x-2);
2x+6=3x-2或2x+6=-3x+2;
x=8或x=-4/5;