I need help with these questions ( see image for question ).
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k = -4 ± 2√5

Step-by-step explanation:

#22

Given Equation x² -4x + 1 = k(x - 4) with equal rootsTo findThe value of kSolution

The equation in standard form is:

x² -4x + 1 = k(x - 4)x² - 4x - kx + 1 + 4 = 0x² - (k + 4)x + 5 = 0

When the quadratic equation has equal roots its discriminant is zero

D = 0b² - 4ac = 0(k + 4)² - 4*5 = 0(k + 4)² = 20k + 4 = ± √20k = - 4 ± √20ork = -4 ± 2√5

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