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In Math / Elementary School | 2024-10-18

WHAT I CAN DOSolve each quadratic equation by factoring. Show your COMPLETE SOLUTION then ENCIRCLE your final answer.1) x ^ 2 + 5x = 02) 7x ^ 2 + 21x = 03) 16x ^ 2 = 12x4) - 4x ^ 2 = 6x5) x ^ 2 + 8x + 12 = 06) x ^ 2 + 4x - 21 = 07) x ^ 2 - 14x = - 248) 2x ^ 2 - 12 = 2x9) 2x ^ 2 + 5x + 2 = 010) 3x ^ 2 - 5x = 12​

Asked by gamermarc961

Answer (1)

Step-by-step explanation: 1. x2+5x=0 Factor out the common term: x(x+5)=0 Solutions: x=0 or x=−5 2. x2+4x−21=0 Factor the quadratic: (x+7)(x−3)=0 Solutions: x=−7 or x=33.7x2+21x=0 Factor out the common term: 7x(x+3)=0 Solutions: x=0 or x=−34. x2−14x=−24 Rearrange to standard form: x2−14x+24=0 Factor the quadratic: (x−12)(x−2)=0 Solutions: x=12 or x=25.16x2=12x Rearrange to standard form: 16x2−12x=0 Factor out the common term: 4x(4x−3)=0 Solutions: x=0 or x=436. 2x2−12=2x Rearrange to standard form: 2x2−2x−12=0 Factor the quadratic: (2x+4)(x−3)=0 Solutions: x=−2 or x=37. −4x2=6x Rearrange to standard form: −4x2−6x=0 Factor out the common term: −2x(2x+3)=0 Solutions: x=0 or x=−238. 2x2+5x+2=0 Factor the quadratic: (2x+1)(x+2)=0 Solutions: x=−21 or x=−29.x2+8x+12=0 Factor the quadratic: (x+6)(x+2)=0 Solutions: x=−6 or x=−210. 3x2−5x=12 Rearrange to standard form: 3x2−5x−12=0 Factor the quadratic: (3x+4)(x−3)=0 Solutions: x=−34 or x=3

Answered by Kimalex2010 | 2024-10-18