# Solving quadratics: the Square Root Principle

: S C I T A R T D O A U RO Q E

R G N UA I LV SQ LE SO E CIP TH IN 3 PR R T P A

TO APPLY THE SQUARE ROOT PRINCIPLE THE QUADRATIC EQUATION MUST BE WRITTEN AS A A = (a + b)2 TO SOLVE USING THE SQUARE ROOT PRINCIPLE Must have perfect square variable expression on one side and constant on the other ;

notethe constant doesnt have to be a perfect square, just the variable expression must be perfect Examples: x2 = 16 (x 4)2 = 9 (2x 1)2 = 5

Click icon to add picture Circle the perfect squares X2 = 4 8 16n2 + 2n = 4 36d2 = 1 a2 =

APPLYING THE SQUARE ROOT PRINCIPLE RATIONAL ROOTS x2 = 16 x=4 APPLYING THE SQUARE ROOT PRINCIPLE IRRATIONAL ROOTS a2 = 8

= Graph can be deceiving!! Use the CALC functions to verify. Answer is very close to 3 () as () should be! BUT IT IS NOT 3!!! Because the graph is symmetrical to the yaxis, the other irrational root is approximately -2.828427. Verify with your calculator that is APPLYING THE SQUARE ROOT PRINCIPLE

(m + 3)2 = 10 m+3= m = -3 Verify with calculator APPLY THE SQUARE ROOT PRINCIPLE 36d2 = 1 1)2 = 3

(2k - IN QUADRATIC EQUATIONS Irrational roots ALWAYS come in CONJUGATE PAIRS If you have one irrational root, then you will have another one!! WHAT ARE THE SOLUTIONS TO THE

EQUATION? = 48 HINT: Isolate the x2, then apply the square

## Recently Viewed Presentations

• "Never miss out!" Enabling people to make informed decisions using . reliable user-driven data.
• Contatos: Faculdade SENAI de Tecnologia Ambiental Criando Atividade Treinamento e Consultoria Ltda Rua Paranapanema, 50 - Ap. 34A Vila da Saúde 04144-100 - SÃO PAULO - SP Prof e Eng. Fernando Codelo Nascimento Fone: 22760287 - Cel. 94686509 [email protected] [email protected]
• Increasing charge. Decreasing distance between charges. Therefore, the strongest ionic bonds are formed between ions that are small (because they can get close to each other) and highly charged (ions that have high charge densities. Explain in terms of ionic...
• Making the internet safer for you to enjoy . Explore the great online, securely protected by ESET's award-winning NOD32 detection technology. It's trusted by over 100 million users worldwide to detect and neutralize all types of digital threats, including viruses,...
• 2002 amendments. 1. bird fighting criminal prohibitions expanded. 2. codified APHIS def. of animal. n a 2000 lawsuit settlement with animal-rights and anti-animal research groups, USDA had agreed to consider including laboratory rodents and birds under its regulations.
• "Our Loss is the Empire's Gain" March 1915: This article reports on a Farewell Reception held for students who had volunteered to fight overseas. Though saddened by "the loss of these boys," the Athenaeum staff concludes that it is for...
• Loaded Wordsand Pictures. Using words and pictures that appeal to the emotions, rather than using facts.
• 2. List the four types of permanent teeth and their shapes and functions. Incisors: chisel-shaped for cutting. Canines: fang-like, for tearing or piercing