Question

Find all values of j for which the quadratic equation has one real solution.2x^2-7x+j=0Write your answer as an equality or inequality in terms of j.

Answer 1

The discriminant of a quadratic equation determines the number of real solutions for the quadratic equation.

if the discriminant is equal to 0, then it has only one real solution

`b^2-4ac=0`

a is equal to 2, b is equal to -7 and c is equal to j

`(-7)^2-4\cdot(2)\cdot j=0`

solve the equation for j

`\begin{gathered} 49-8j=0 \\ -8j=-49 \\ j=(49)/(8) \end{gathered}`