Understanding the Discriminant Date Period

1 B Z2i0y1w2H kKrudtUaU PSVoxfzt6wxaMrAeh V nAZlolQ Or3i5gghitEss P kMCaodJe1 JwyiRtDhW mIanJfMixnxi3tleC RARlngpeCbnrdac by Kuta Software LLCKuta Software - Infinite Algebra 2 Name_____ Period____Date_____Understanding the DiscriminantFind the value of the Discriminant of each quadratic ) 6 p2 2 p 3 = 02) 2 x2 x 1 = 03) 4 m2 4 m + 5 = 04) 5 b2 + b 2 = 05) r2 + 5 r + 2 = 06) 2 p2 + 5 p 4 = 0 Find the Discriminant of each quadratic equation then state the numberof real and imaginary ) 9 n2 3 n 8 = 108) 2 x2 8 x 14 = 69) 9 m2 + 6 m + 6 = 510) 4 a2 = 8 a 411) 9 b2 = 8 b + 812) x2 9 = 6 x-1- F K2M0K1t24 1 KXuDtiaj fSJoQfZt1w9aKroeD r 5 ATlBlw qrriNgkh7tbsU o 8 Mca7dKe2 HwEiHt4hV XIlnof0ijnOiutbeB FAxligZe3bFrwaa by Kuta Software LLC13) 4 r2 4 r = 614) 8 b2 6 b + 3 = 5 b2 Find the Discriminant then state the number of rational, irrational, and imaginary ) 6 x2 6 = 7 x 916) 4 k2 + 5 k + 4 = 3 k17) 7 n2 + 16 n = 8 n18) 2 x2 = 10 x + 519) 10 n2 3 n 9 = 2 n20) 9 r2 8 r 1 = r r2 921) 3 p2 + 10 p + 5 = 8 p222) m2 + 5 m = 2 m2 Critical thinking questions.

2 23) Write a quadratic equation that has twoimaginary ) In your own words explain why a quadraticequation can't have one imaginary G O2v061P25 OK7uqtCaI HS8oJfdtlwIaArIez y qAzlFlN Prli5gEhbths8 w EMbaUdSe7 cwfiLtAhZ YIznyfuiUnTiUtle2 bAglngxeDbkreaJ by Kuta Software LLCKuta Software - Infinite Algebra 2 Name_____ Period____Date_____Understanding the DiscriminantFind the value of the Discriminant of each quadratic ) 6 p2 2 p 3 = 0762) 2 x2 x 1 = 0 73) 4 m2 4 m + 5 = 0964) 5 b2 + b 2 = 0415) r2 + 5 r + 2 = 0176) 2 p2 + 5 p 4 = 057 Find the Discriminant of each quadratic equation then state the numberof real and imaginary ) 9 n2 3 n 8 = 10 63; two imaginary solutions8) 2 x2 8 x 14 = 60; one real solution9) 9 m2 + 6 m + 6 = 50; one real solution10) 4 a2 = 8 a 40; one real solution11) 9 b2 = 8 b + 8 224; two imaginary solutions12) x2 9 = 6 x0; one real solution-1- c Z24021T28 7 KCuZtbav rS6oJfHtEwtaircej Q OA8l9lW lrsicg1hHtzsv D DMlandueb hwVitt0hN LIgn0fgiVnoirtOe4 JAvlngveQborua3 by Kuta Software LLC13) 4 r2 4 r = 6 80; two imaginary solutions14) 8 b2 6 b + 3 = 5 b20; one real solutionFind the Discriminant then state the number of rational, irrational, and imaginary ) 6 x2 6 = 7 x 9121.

3 Two rational solutions16) 4 k2 + 5 k + 4 = 3 k0; one rational solution17) 7 n2 + 16 n = 8 n64; two rational solutions18) 2 x2 = 10 x + 5140; two irrational solutions19) 10 n2 3 n 9 = 2 n 359; two imaginary solutions20) 9 r2 8 r 1 = r r2 9337; two irrational solutions21) 3 p2 + 10 p + 5 = 8 p20; one rational solution22) m2 + 5 m = 2 m225; two rational solutionsCritical thinking questions:23) Write a quadratic equation that has twoimaginary answers. Ex: x2 + x + 1 = 024) In your own words explain why a quadraticequation can't have one imaginary your own worksheets like this one with Infinite Algebra 2. Free trial available at