Quadratic Equations – No Solutions – Link Students need to match the questions on the left to the answers on the right. Students should place corresponding letters in the boxes on the right. The worksheet is provided in a variety of sizes/formats.

Printing To print handouts from slides - Select the slide from the left. Then click: File > Print > ‘Print Current Slide’ To print multiple slides - Click on a section title to highlight all those slides, or press ‘Ctrl’ at the same time as selecting slides to highlight more than one. Then click: File > Print > ‘Print Selection’ To print double-sided handouts - Highlight both slides before using ‘Print Selection’. Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.

Equations with No Solutions LINK Equations with No Solutions

3𝑥2+7𝑥−4 68 2𝑥2+6𝑥−5 −51 3𝑥2+3𝑥+5 𝑥2+2𝑥+1 57 4𝑥2+6𝑥−2 97 3𝑥2+4𝑥+5 41 Work out the discriminant of these equations. How many solutions does the equation have for 𝑥? Discriminant = 𝑏2−4𝑎𝑐 Equation Discriminant Solutions A 3𝑥2+7𝑥−4 68 B 2𝑥2+6𝑥−5 −51 C 3𝑥2+3𝑥+5 D 𝑥2+2𝑥+1 57 E 4𝑥2+6𝑥−2 97 F 3𝑥2+4𝑥+5 41 G 𝑥2−6𝑥+9 −103 H 2𝑥2−8𝑥+8 I 5𝑥2+𝑥−2 J 7𝑥2+3𝑥+4 −44 K 3𝑥2+3𝑥−4 76

Half Answers 3𝑥2+7𝑥−4 68 2 E 2𝑥2+6𝑥−5 −51 None C 3𝑥2+3𝑥+5 1 𝑥2+2𝑥+1 57 Work out the discriminant of these equations. Half Answers How many solutions does the equation have for 𝑥? Discriminant = 𝑏2−4𝑎𝑐 Equation Discriminant Solutions A 3𝑥2+7𝑥−4 68 2 E B 2𝑥2+6𝑥−5 −51 None C 3𝑥2+3𝑥+5 1 D 𝑥2+2𝑥+1 57 4𝑥2+6𝑥−2 97 F 3𝑥2+4𝑥+5 41 G 𝑥2−6𝑥+9 −103 H 2𝑥2−8𝑥+8 I 5𝑥2+𝑥−2 J 7𝑥2+3𝑥+4 −44 K 3𝑥2+3𝑥−4 76

Answers 3𝑥2+7𝑥−4 68 2 E 2𝑥2+6𝑥−5 −51 None C 3𝑥2+3𝑥+5 1 H 𝑥2+2𝑥+1 57 K Work out the discriminant of these equations. Answers How many solutions does the equation have for 𝑥? Discriminant = 𝑏2−4𝑎𝑐 Equation Discriminant Solutions A 3𝑥2+7𝑥−4 68 2 E B 2𝑥2+6𝑥−5 −51 None C 3𝑥2+3𝑥+5 1 H D 𝑥2+2𝑥+1 57 K 4𝑥2+6𝑥−2 97 F 3𝑥2+4𝑥+5 41 I G 𝑥2−6𝑥+9 −103 J 2𝑥2−8𝑥+8 5𝑥2+𝑥−2 7𝑥2+3𝑥+4 −44 3𝑥2+3𝑥−4 76

3𝑥2+7𝑥−4 68 2𝑥2+6𝑥−5 −51 3𝑥2+3𝑥+5 𝑥2+2𝑥+1 57 4𝑥2+6𝑥−2 97 3𝑥2+4𝑥+5 41 Work out the discriminant of these equations. Work out the discriminant of these equations. How many solutions does the equation have for 𝑥? How many solutions does the equation have for 𝑥? Discriminant = 𝑏2−4𝑎𝑐 Discriminant = 𝑏2−4𝑎𝑐 Equation Discriminant Solutions A 3𝑥2+7𝑥−4 68 B 2𝑥2+6𝑥−5 −51 C 3𝑥2+3𝑥+5 D 𝑥2+2𝑥+1 57 E 4𝑥2+6𝑥−2 97 F 3𝑥2+4𝑥+5 41 G 𝑥2−6𝑥+9 −103 H 2𝑥2−8𝑥+8 I 5𝑥2+𝑥−2 J 7𝑥2+3𝑥+4 −44 K 3𝑥2+3𝑥−4 76 Equation Discriminant Solutions A 3𝑥2+7𝑥−4 68 B 2𝑥2+6𝑥−5 −51 C 3𝑥2+3𝑥+5 D 𝑥2+2𝑥+1 57 E 4𝑥2+6𝑥−2 97 F 3𝑥2+4𝑥+5 41 G 𝑥2−6𝑥+9 −103 H 2𝑥2−8𝑥+8 I 5𝑥2+𝑥−2 J 7𝑥2+3𝑥+4 −44 K 3𝑥2+3𝑥−4 76

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