1) 5(X+2)^2-75=0 2) x-√2=5X(√2-X) 3)X^2-√64=0 4)2X^2-3√6-11/
来源:学生作业帮 编辑:神马作文网作业帮 分类:数学作业 时间:2024/09/23 11:20:49
1) 5(X+2)^2-75=0 2) x-√2=5X(√2-X) 3)X^2-√64=0 4)2X^2-3√6-11/2=0 5)3X(X-2)=5(2-X) 5)(3X+2)^2=8(X-1)^2-100 会一题也好,
1) 5(X+2)^2-75=0 ==> (x+2)^=75/5=25 ==> |x+2|=5 ==> x=3,-7 2) x-√2=5X(√2-X) ==> (x-√2) - 5X(√2-X)=0 ==> (x-√2) * (1+5X)=0 ==> x=√2,-1/5 3)X^2-√64=0 ==> X^2=√64 ==> x^2=8 ==> x=2√2,-2√2 4)2X^2-3√6-11/2=0 ==> 2X^2=3√6+11/2 ==> X^2=3/2*√6+11/4 ==> X=±√(3/2*√6+11/4)=±[√(6*√6+11)]/2 5)3X(X-2)=5(2-X) ==> 3X(X-2)-5(2-X)=0 ==> (x-2)(3x+5)=0 ==> x=2,-5/3 6)(3X+2)^2=8(X-1)^2-100 ==> 9x^2+12x+4=8x^2-16x+8-100 ==> x^2+28x+96=0 ==> (x+4)(x+24)=0 ==> x= -4,-24
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