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For what values of k, the roots of the equation x2+4x+ k=0 are real? |
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Answer» The value of k must be less than or equal to 4.Step-by-step explanation:The given quadratic equation isx2+4x+k=0A quadratic equation ax2+bx+c=0 has real roots if{tex}b^2-4ac\\geq 0{/tex}We have,a=1,b=4,c=k{tex}(4)^2-4(1)(k)\\geq 0{/tex}{tex}16-4k\\geq 0{/tex}{tex}16\\geq 4k{/tex}Divide both sides by 4.{tex}4\\geq k{/tex}Therefore the value of k must be less than or equal to 4. Zfddv K=4 |
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