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> 当x=__________时,既是最简二次根式又是同类二次根式。-九年级数学
当x=__________时,既是最简二次根式又是同类二次根式。-九年级数学
题目简介
当x=__________时,既是最简二次根式又是同类二次根式。-九年级数学
题目详情
当x=__________时,
既是最简二次根式又是同类二次根式。
题型:填空题
难度:偏易
来源:不详
答案
-5
先根据两根式的被开方数相同列出方程,从而解出x的值,再根据两根式是最简二次根式舍去不符合题意的x的值即可得出答案.
解:由题意得:x2+3x=x+15,
解得:x=3或-5,
又
是最简二次根式,
∴x只能取-5.
即当x=-5时,
既是最简根式又是同类根式.
故答案为:-5.
本题考查了同类二次根式及最简二次根式的知识,属于基础题,要求我们掌握同类二次根式的被开方数相同及最简二次根式的特点.
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题目简介
当x=__________时,既是最简二次根式又是同类二次根式。-九年级数学
题目详情
答案
解:由题意得:x2+3x=x+15,
解得:x=3或-5,
又
∴x只能取-5.
即当x=-5时,
故答案为:-5.
本题考查了同类二次根式及最简二次根式的知识,属于基础题,要求我们掌握同类二次根式的被开方数相同及最简二次根式的特点.