(x-2)²=4(x-2)用因式分解法算.
\u7528\u56e0\u5f0f\u5206\u89e3\u89e3\u65b9\u7a0b 9\uff08x-2\uff09²=4\uff08x+1\uff09²x-4=(x-4)²
(x-4)² - (x-4) = 0
(x-4)(x-4-1) = 0
(x-4)(x-5) = 0
x=4 \u6216 x=5
\uff085x-1)(2x+4)=3x+6
\uff085x-1)(2x+4) - (3x+6) = 0
2(5x-1)(x+2) - 3(x+2) = 0
(x+2) { 2(5x-1) - 3} = 0
(x+2)(10x-5) =0
(x+2)(2x-1) = 0
x=-2 \u6216 x=1/2
x²-3x-18=0
(x-6)(x+3) = 0
x=6 \u6216 x=-3
2y²-5y+2=0
(2y-1)(y-2) = 0
y=1/2 \u6216 x=2
x²+5=2\uff08\u6839\u53f75\uff09x
x² - 2\u221a5x + 5 = 0
(x-\u221a5)² = 0
x = \u221a5 \u91cd\u6839
(3x+2)²-4x²=0
(3x+2+2x)(3x+2-2x) = 0
(5x+2)(x+2) = 0
x=-2/5 \u6216 x=-2
2x²-mx=15m
2x²-mx-15m = 0
(x-3m)(2x+5m) = 0
x=3m \u6216 x=-2.5m
图
(x-2)²=4(x-2)·
x²-4x+4=4x-8
x²-8x+12=0
(x-6)(x-2)=0
x1=6 x2=2
绛旓細x姹傚涓1锛2鏄父鏁帮紝姹傚鍚庝负0锛屾墍浠x-2姹傚鍚庝负1
绛旓細(x-2)鐨勫師鍑芥暟涓簒^2/2-2x+C锛屽叾涓瑿鏄换鎰忎竴涓父鏁 鍥犳涓よ呴兘瀵 鏈変笉鎳傛杩庤拷闂
绛旓細x(-2)鏄竴绉嶆暟瀛︾鍙凤紝閫氬父琛ㄧず涓涓嚱鏁板湪鑷彉閲忓彇鍊间负-2鏃跺搴旂殑鍥犲彉閲忕殑鍊笺傚湪鍑芥暟鍥惧儚涓紝璇ョ偣浣嶄簬妯潗鏍囦负-2鐨勪綅缃锛屽彲浠ラ氳繃杩欎釜鐐圭殑鍧愭爣浜嗚В鍑芥暟鍦ㄨ浣嶇疆鐨勫彉鍖栬秼鍔裤傚湪鏁板鍜岀瀛﹂鍩熶腑锛屼娇鐢▁(-2)鍙互鏇寸簿纭湴琛ㄧず鍑芥暟鐨勭壒瀹氱偣鐨勬ц川鍜岃涓恒傚浜庢煇浜涘嚱鏁帮紝x(-2)鍙兘鍏锋湁鐗规畩鐨勫惈涔夈備緥...
绛旓細鏂圭▼涓よ竟鍚屾椂寮鏂癸紝鍙互寰楀埌x-2=卤鈭25=卤5銆傛墍浠ヤ袱杈瑰悓鏃跺姞涓2锛岃В寰梮=5+2=7锛屾垨鑰厁=-5+2=-3銆
绛旓細鏂规硶濡備笅锛岃浣滃弬鑰冿細
绛旓細锛坸-2锛鐨勫钩鏂圭瓑浜锛坸-2)²=(x-2)*(x-2)=(x-2)*x-(x-2)*2 =x*x-2x-(2x-4)=x*x-2x-2x+4 =x²-4x+4
绛旓細( x - 2 )鈥 = 16锛( x - 2 )鈥 - 16 = 0锛( x - 2 )" - 4" = 0锛( x - 2 + 4 )( x - 2 - 4 ) = 0锛( x + 2 )( x - 6 ) = 0锛岃В鏂圭▼寰楋紝x1 = -2锛寈2 = 6锛
绛旓細瑕佸洜寮忓垎瑙h〃杈惧紡(x-2)²=(2x-3)²锛屾垜浠彲浠ヤ娇鐢ㄥ钩鏂瑰樊鍏紡銆傚钩鏂瑰樊鍏紡鏄竴涓父鐢ㄧ殑鍥犲紡鍒嗚В鏂规硶锛岀敤浜庡皢涓涓钩鏂瑰樊琛ㄨ揪寮忓垎瑙d负涓や釜鍥犲瓙鐨勪箻绉傛牴鎹钩鏂瑰樊鍏紡锛屾垜浠湁锛(x-2)² = (2x-3)²鐜板湪锛屾垜浠彲浠ヤ娇鐢ㄥ垎閰嶅緥鏉ュ睍寮杩欎釜琛ㄨ揪寮忥細(2x-3)² = (2x-3)(2x...
绛旓細=a骞虫柟锛峚b-ab+b骞虫柟 =a骞虫柟锛2ab+b骞虫柟 鎵浠锛圶-2)骞虫柟锛漍骞虫柟锛4X+4 瀵逛簬瑙d竴鍏冧簩娆℃柟绋嬶紝涓昏鐨勬柟娉曟湁鐩存帴寮鏂规硶锛岋紙渚嬪x²=25锛屽彲浠ョ洿鎺ヨВ鍑簒=卤5锛夛紱姹傛牴鍏紡娉曪紙x²+2x+1=0 鈻=b²-4ac 鍒ゆ柇鈻崇殑鑼冨洿锛岋紴0锛岋紳0锛岋紲0 鍘昏В鍑烘牴锛夈備竴鍏冧簩娆℃柟绋嬭В娉曪細1銆...
绛旓細(X-2)鐨勭珛鏂 =X^3-6X^2+12X-8