Question

Find the value of k such that the equation 4z2-2(k+1)z+(k+4)=0 has equal roots

Answer 1

★ QUADRATIC RESOLUTION ★

GIVEN EQUATION :

☣ 4z² - 2( k + 1 ) z + ( k + 4 ) = 0

FOR EQUAL ROOTS :

☣ D = 0

☣ 4 ( k + 1 )² - 4 ( 4 ) ( k + 4 ) = 0

☣ k² + 1 + 2k - 4k - 16 = 0

☣ (k - 1)² = 16

☣ k - 1 = ± 4

☣ k = 5 , -3

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Answer 2

Answer is in attachment.