Question

If 4x²+tx+9 is a perfect square then what is the value of t?​

Answer 1

Answer:

the value of t is 12

Answer 2

Given-: 4x²+tx+9

To find-: Value of t.

Solution-:

Comparing the given equation with general quadratic equation ax²+bx+c.

a=4,b=t and c=9

Condition f for perfect square is b²- 4ac=0

= (t)²- 4×4×9=0

= t² - 144=0

= t² = 144

= t = √144

= t = 12

Final answer-: hence the value of t is 12.