what is the value of t that makes x^2 +10x+t a perfect square?


Question and Answers Forum

All Questions Topic List
Algebra Questions
Previous in All Question Next in All Question
Previous in Algebra Next in Algebra
Question Number 55014 by Rio Mike last updated on 16/Feb/19

$w h a t i s t h e v a l u e o f t t h a t m a k e s$ $x^{2} + 10 x + t a p e r f e c t s q u a r e ?$
	Answered by peter frank last updated on 16/Feb/19

	$t = 25$
	Answered by Joel578 last updated on 16/Feb/19

	$x^{2} + 10 x + t \equiv {(x + \sqrt{t})}^{2}$ $x^{2} + 10 x + t \equiv x^{2} + 2 \sqrt{t} x + t$ $10 = 2 \sqrt{t} \to t = 25$
	Answered by tanmay.chaudhury50@gmail.com last updated on 16/Feb/19

	$x^{2} + 2 \times x \times 5 + 5^{2} + t - 25$ ${(x + 5)}^{2} + (t - 25)$ $t o m a k e p e r f e c t s q u a r e (t - 25) = 0$ $s o t = 25$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum