7. Find the value of m so that the equation x2 - 4x + m - 4 = O has equal roots. 1) 8 2) 10 3) 12 4)9 << 了 8. If the CGST of the bag bought by Somali is Rs 1200 Then th
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The value of m so that the equation x^2-4x+(m-4)=0x2−4x+(m−4)=0 has equal roots is 8
Step-by-step explanation:
The given quadratic equation is
x^2-4x+(m-4)=0x2−4x+(m−4)=0
We know that discriminant of a quadratic equation ax^2+bx+c=0ax2+bx+c=0 is given by
D=b^2-4acD=b2−4ac
We also know that if a quadratic equation has equal roots then its discriminant should be zero
i.e. D=0D=0
Since the given quadratic equation has equal roots
Therefore,
(-4)^2-4(m-4)=0(−4)2−4(m−4)=0
16-4m+16=016−4m+16=0
4m=324m=32
\implies m=8⟹m=8
Step-by-step explanation:
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