3. Use Graeffe's Root Squaring Method to de the real roots of the polynomial equation х3 + За? — 6х — 8 — 0 - 6x -

Which is the correct set up for the quadratic formula given the equation: 3x2 – 6x = 12 61V(-0) 4(3)(12) 2(3) 61 (-0) 4(3)(- 12) 2(3) 6+/(-6) 4(3)(12) 2(3) 6+/(-0) -4(3)(-12) 2(3) 2 4 6. 7. 8. DELL

(x-4) (x-5)=0 x = 4 and x=5 3. Solve: X = √x-5 A =D 6 Square both sides: Multiply both sides by 36: Use the Distributive Property: Rearrange the equation: 21268 36 =x- x² = (x-5) x² = 36x - x² - x + 180 = 0 Factor: (x -- Use the Zero Product Property: )(x - 30) x-6=0 and x - _ =0 Solve: X = and x = enVision™ Algebra 2⚫ Teaching Resources

(b) a, 3 andy are the roots of the equation 2x³ + 5x² − 4x+8 = 0. Given that a² + 3² +7²: and a³ +3³ +³ = -341 8 find the value of a¹ + 3² + y² 41

What expression gives the values of the roots (if any) of the quadratic equation ах + bx + с %3D0 ас X1,2 2a b± vb? - 4ac X1,2 2a ас X1,2 2а -6+ vb? 4ас X1,2 = 2a

Make an appropriate substitution and solve the equation √(3+√(x+√(x+1)) ) =2

Use the Quadratic Formula to find the following: a. 20x² +7x-3=0 b=?ct=3. a. the value of the discriminant 20 b=2-3 12 а го 2 roots, b. The number and type of roots X = 11 c. Find the exact root(s) b. 5x²-x-1=0 X=-=-=-3 Š 4 X = -b ± √b² - 4ac 2a c. 2x²-3x+2=0

the rum c) Find 1) 2x² - 2x + 5 = 0 2) x-5x+6=0 3) x² + 8x +15 = 0 and product g roots ofthe given equation

If a, ß be the roots of ax² + 2bx + c = 0 and a +8, B+ 8 be those of Ax² + 2Bx+C =0, then 6² 2 ac the value of is - AC A² (a) q² (c) 0 A 2 B² - - (b) (d) 1

5) Solve each quadratic by factoring a) f (x) = x? + 7x + 12 b) f (x) = 3x2 – 4x – 15