Algebra Demystified 2nd Ed
346 algebra De mystif ieD The chair of a scholarship committee needs to decide how to invest a $200,000 gift to his college. Th ...
Chapter 9 linear inequaliTieS 347 The Martinez family’s monthly budget for electricity is $80 to $140. Their elec- tricity prov ...
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349 chapter 10 Quadratic Equations Linear equations and quadratic equations occur so much in algebra (and calculus) that solving ...
350 alGEbra De mystif ieD Solving Quadratic Equations by Factoring A quadratic equation is one that we can write in the form ax^ ...
Chapter 10 QuadratiC EQuations 351 Solve the equation by factoring. xx^2 ++= 560 xx xx xx (^2560230) 20 30 22 3 ++=++= += += −− ...
352 alGEbra De mystif ieD Solve the equation by factoring. 39 xx^2 −− 30 = 0 39 xx^22 −− 30 =− 03 becomes3()xx−= 10 0 whichbecom ...
Chapter 10 QuadratiC EQuations 353 xx xx xx (^27120) 340 30 40 33 ++= ++= += += −− − ()() 444 34 − xx=− =− xx xx xx x 2 ...
354 alGEbra De mystif ieD x xx xx x (^2250) 550 50 50 55 55 5 −= −+= −= += ++ −− ()() xx=− 5 9160 440 340340 44 44 3 x^2 xx ...
Chapter 10 QuadratiC EQuations 355 x xx xx 2 1 9 0 1 3 1 3 0 1 3 0 1 3 0 1 3 −= − + = −= += ++ (^11) 3 1 3 ...
356 alGEbra De mystif ieD 10 (for decimals) or the LCD (fractions) can make the nonzero side of the equation easier to factor. 0 ...
Chapter 10 QuadratiC EQuations 357 Solve the equation by factoring. 1 2 xx^2 −+= 340 1 2 xx xx xx 2 2 2 340 2 1 2 3420 680 −+= ...
358 alGEbra De mystif ieD −0.1x^2 + 1.1x − 2.8 = 0 5.^1 5 1 5 xx^2 +−= 60 6.^1 6 2 3 16 3 xx^2 −−= 0 xx^21 2 −−= 30 −+^3 += ...
Chapter 10 QuadratiC EQuations 359 001014 0130 100001014 013 1000 2 2 ... ...( xx xx ++= ()++= )) ()() xx xx xx (^214130) 13 1 ...
360 alGEbra De mystif ieD xx xx xx xx 2 2 2 1 2 30 2 1 2 320 260 23 −−= −− = −−= + () ()( −−= += −= −− 20 23020 33 ) ...
Chapter 10 QuadratiC EQuations 361 −−−= − −−−=− ++ 10 34 12 0 1 2 10 34 12 1 2 0 5176 2 2 2 xx xx xx ()() == ++= += += 0 52 30 ...
362 alGEbra De mystif ieD Solve the quadratic equation by extracting roots. 25 – x^2 = 0 25 = x^2 ±5 = x Solve the quadratic equ ...
Chapter 10 QuadratiC EQuations 363 64 − x^2 = 0 64 = x^2 ± 8 = x 4 x^2 = 100 x^2 =^100 4 x^2 = 25 x = ± 5 2 x^2 = 3 x^2 =^3 2 ...
364 alGEbra De mystif ieD equation ax^2 + bx + c = 0 can be written in the form ()x±=number^2 another number. Taking the square ...
Chapter 10 QuadratiC EQuations 365 PRACTICE Identify a, b, and c for ax^2 + bx + c = 0. 2x^2 + 9x + 3 = 0 –3x^2 + x + 5 = 0 x^2 ...
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