Question

value of k for which quadratic equation 2x²-ky+k=0 has equal roots is
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Answer 1

Answer:

Step-by-step explanation:

if a quadratic equation has equal roots : b²-4ac=0

k²-8k=0

k=8 or 0

Answer 2

Let's solve for k.

$2x^2-ky+k=0$

Step 1: Compare this with $ax^2+bx+c=0$.

$a=2$

$b=-k$

$c=k$

Step 2: Solve with equal roots.

$b^2+4ac=0$

$(-k)^2-4(2)(k)=0$

$k^2-8k=0$

$k(k-8)=0$

$k=0\ or \ k=8$

∴ $k=0\ or \ k=8$ in the equation ⇒ $2x^2-ky+k=0$.

Additional Information

What is an algebraic expression?

A mathematical phrase with constants, variables and operators is known as an algebraic expression.

What is an algebraic equation?

A mathematical statement that tells us two things are equal is known as an algebraic equation.

What are the types of equations?

There are five types of equations. They are listed below.

• Quadratic Equation
• Exponential Equation
• Linear Equation
• Radical Equation
• Rational Equation