Math, asked by divyanshi1667, 9 months ago

the value of k for which kx^2-4x+4=0 has real equation and equal root​

Answers

Answered by radhika0106
17

☆SoluTion =》

Answer:-

k=1

Given =》

▪︎ kx²-4x+4=0

To find=》

value of k

Explanation =》

kx²-4x+4=0

On comparing to the general form ax² +bx+c=0

a= k , b= -4 , c= 4

for real and equal roots

D=0 ( D= b²-4ac)

b²-4ac=0

(-4)²- 4× k×4=0

16- 16k=0

-16k=-16

k= -16/16

k=1

value of k is 1

Answered by Anonymous
11

\rule{200}3

\Huge{\red{\underline{\textsf{Answer}}}}

\green\bigstarIt is given that the equation has equal and real roots.

\therefore \sf The \ discriminant \ of \ the \ equation = 0.

\orange\longrightarrow \orange{\sf b^{2} - 4ac}

\purple\star \purple{\sf a = k, \: b = -4, \: c = 4}

\red\longrightarrow \red{\sf -4^{2} - 4 \times k \times4}

\red\longrightarrow \red{\sf 16 - 16k = 0}

\red\longrightarrow \red{\sf -16k = -16}

\blue\longrightarrow \huge{\boxed{\blue{\sf k = 1}}}

\rule{200}3

❤️ \mathcal{BE \: BRAINLY} ❤️

\rule{200}3

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