a) ( x – 1 ) ( x + 2 ) +5x = x^2 + 4 b) x( x + 5 ) – 4x – 20 = 0 Question a) ( x – 1 ) ( x + 2 ) +5x = x^2 + 4 b) x( x + 5 ) – 4x – 20 = 0 in progress 0 Môn Toán Ben Gia 4 years 2020-10-15T04:30:57+00:00 2020-10-15T04:30:57+00:00 2 Answers 151 views 0
Answers ( )
`a, (x-1)(x+2)+5x=x^2+4`
`→x^2+x-2+5x=x^2+4`
`↔x-6+5x=0`
`↔6x=6`
`↔x=1`
Vậy `x=1`
`b, x(x+5)-4x-20=0`
`↔x^2+5x-4x-20=0`
`↔x(x+5)-4(x+5)=0`
`↔(x-4)(x+5)=0`
`↔x=4` hoặc `x=-5`
Vậy `x=4` hoặc `x=5`
Đáp án:
a) Ta có: ( x – 1 ) ( x + 2 ) +5x = x² + 4
⇒ x² – x + 2x – 2 + 5x =x² + 4
⇒ x² – x² – x + 2x + 5x =4 + 2
⇒ 6x =6
⇒ x =1
Vậy x=1
b) x( x + 5 ) – 4x – 20 = 0
⇒ x(x+5)-4(x+5) =0
⇒ (x-4)(x+5) =0
x-4=0⇒x=4
⇒hoặc
x+5=0⇒x=-5
Vậy x=4 hoặc x=-5
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