Question

If a2 + b2 = 74 and ab = 35, then find a + b

Answer 1

(a+b)^2=a^2+b^2+2ab
=74+2*35
=74+70
=144
a+b=√144=12

Answer 2

Answer:

The final answer is 12.

Step-by-step explanation:

Given,

$a^2+b^2$ = 74 and ab = 35

we need to find the value of a + b. We will do this by applying the formula

$($$a$$+$$b$$)^2$=$a^2$ + $2ab$ + $b^2$. Since we have the value of $a^2$ and $b^2$ = 74. We will directly apply the value into answer.

Then,

= 74 + 2ab.

Also we have ab = 35. Substituting this in the equation.

= 74 + 2 * 35

= 74 + 70

= 144

(a + b$)^2$ = 144

a + b = 12

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