Question

a + b + c = 25 and ab + bc + ca = 59. Find the value of a^2 + b^2 + c^2.

Answer 1

Step-by-step explanation:

$Given, a+b+c=9 and ab+bc+ca=26.</p><p></p><p></p><p>We know, (a+b+c)2=a2+b2+c2+2ab+2bc+2ca</p><p></p><p>⇒(a+b+c)2=a2+b2+c2+2(ab+bc+ca).</p><p></p><p></p><p>Putting the values here, we get,</p><p></p><p>(9)2=a2+b2+c2+2(26)</p><p></p><p>⇒81=a2+b2+c2+52</p><p></p><p>⇒a2+b2+c2=81−52=29.</p><p></p><p>$