The document discusses quadratic equations and square roots. It defines a square root as the number that, when multiplied by itself, equals the original number. Only positive integers have exact square roots, while other numbers result in non-terminating decimals. A quadratic equation is one that has the form ax^2 + bx + c = 0, where a is called the leading coefficient. Examples are provided of evaluating square roots, solving quadratic equations by finding the square roots of both sides, and evaluating expressions involving radicals.

1. Algebra 1<br />Quadratic Equations<br />Evaluate and approximate ______________________ ___________________.

2. ________________ a quadratic equations by finding square roots.What is a square root?<br />What is 52?What is (-5)2?<br />What is 25?<br />All positive real numbers have ________ square roots: _____________________ and ______________________.<br />25= ____________<br />EX1:Find the square roots.<br />a)64b)0<br />c)0.25d)-4<br />Numbers whose square roots are integers (_______________________________________) are called _________________________ ___________________________.

3. Numbers that are never-ending decimals are called _______________________________.

4. These cannot be written as a ratio or a fraction.A radical expression is one that involves ____________________________________ (radicals).<br />If there is a ±, it represents two ____________________________ solutions.EX2:Evaluate the expression -b±b2-4ac2a if a=1, b=-2, and c=-3.<br />A quadratic equation is one that has ____________________________________________________.<br />Example:<br />Standard form: _____________________________________<br />a is called the ________________________________________________________________.EX3:Solve each equation.<br />a)x2=4b)x2=5<br />c)x2=0d)x2=-1<br />EX4:Solve each equation. REMEMBER to undo the order of operations.<br />3x2-48=0<br />HW p. 507 (23 – 26, 40 – 42, 57 – 65 all)<br />