Question
Question: The value of \(x^{2} - 6x + 13\)for which \(x^{2} - 3x + 3\)has equal and real roots are....
The value of x2−6x+13for which x2−3x+3has equal and real roots are.
A
–9 and –7
B
9 and 7
C
–9 and 7
D
9 and –7
Answer
9 and –7
Explanation
Solution
Equation β has equal and real roots, then 2x2−3x+4=0.
⇒ 4x2+7x+16=0⇒ 4x2+7x+6=0
⇒ 4x2+7x+1=04x2−7x+16=0.