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解一元二次方程十字相乘法专项练习题
(1)
a2-7a+6=0;
(2)8x2+6x-35=0;
(3)18x2-21x+5=0;
(4)
20-9y-20y2=0;
(5)2x2+3x+1=0;
(6)2y2+y-6=0;
(7)6x2-13x+6=0;
(8)3a2-7a-6=0;
(9)6x2-11x+3=0;
(10)4m2+8m+3=0;
(11)10x2-21x+2=0;
(12)8m2-22m+15=0;
(13)4n2+4n-15=0;
(14)6a2+a-35=0;
(15)5x2-8x-13=0;
(16)4x2+15x+9=0;
(17)15x2+x-2=0;
(18)6y2+19y+10=0;
(19)
2(a+b)
2+(a+b)(a-b)-6(a-b)
2=0;
(20)7(x-1)
2+4(x-1)-20=0
参考答案:
(1)(a-6)(a-1),
(2)(2x+5)(4x-7)
(3)(3x-1)(6x-5),
(4)-(4y-5)(5y+4)
(5)(x+1)(2x+1),
(6)(y+2)(2y-3)
(7)(2x-3)(3x-2),
(8)(a-3)(3a+2)
(9)(2x-3)(3x-1),
(10)(2m+1)(2m+3)
(11)(x-2)(10x-1),
(12)(2m-3)(4m-5)
(13)(2n+5)(2n-3),
(14)(2a+5)(3a-7)
(15)(x+1)(5x-13),
(16)(x+3)(4x+3)
(17)(3x-1)(5x=2),
(18)(2y+5)(3y+2)
(19)(3a-b)(5b-a),
(20)(x+1)(7x-17)
(1)
a2-7a+6=0;
(2)8x2+6x-35=0;
(3)18x2-21x+5=0;
(4)
20-9y-20y2=0;
(5)2x2+3x+1=0;
(6)2y2+y-6=0;
(7)6x2-13x+6=0;
(8)3a2-7a-6=0;
(9)6x2-11x+3=0;
(10)4m2+8m+3=0;
(11)10x2-21x+2=0;
(12)8m2-22m+15=0;
(13)4n2+4n-15=0;
(14)6a2+a-35=0;
(15)5x2-8x-13=0;
(16)4x2+15x+9=0;
(17)15x2+x-2=0;
(18)6y2+19y+10=0;
(19)
2(a+b)
2+(a+b)(a-b)-6(a-b)
2=0;
(20)7(x-1)
2+4(x-1)-20=0
参考答案:
(1)(a-6)(a-1),
(2)(2x+5)(4x-7)
(3)(3x-1)(6x-5),
(4)-(4y-5)(5y+4)
(5)(x+1)(2x+1),
(6)(y+2)(2y-3)
(7)(2x-3)(3x-2),
(8)(a-3)(3a+2)
(9)(2x-3)(3x-1),
(10)(2m+1)(2m+3)
(11)(x-2)(10x-1),
(12)(2m-3)(4m-5)
(13)(2n+5)(2n-3),
(14)(2a+5)(3a-7)
(15)(x+1)(5x-13),
(16)(x+3)(4x+3)
(17)(3x-1)(5x=2),
(18)(2y+5)(3y+2)
(19)(3a-b)(5b-a),
(20)(x+1)(7x-17)
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