Question

x²+(34-x)²=(26)²

Solve this,,
No Spam!!!​

Answer 1

$\huge\underline{\mathbb\red{❥︎A}\green{N}\mathbb\blue{S}\purple{W}\mathbb\orange{E}\pink{R}}\:$

2.3 Solving x2+70x-52 = 0 by the Quadratic Formula .

According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :

- B ± √ B2-4AC

x = ————————

2A

In our case, A = 1

B = 70

C = -52

Accordingly, B2 - 4AC =

4900 - (-208) =

5108

Applying the quadratic formula :

-70 ± √ 5108

x = ———————

2

Can √ 5108 be simplified ?

$\huge\sf\underline{\underline{\red{❥︎ Thanks}}}$

Answer 2

Step-by-step explanation:

x^2+(34-x)^2=(26)^2

=>x^2+1156-68x+x^2=676

=>2x^2-68x+1156-676=0

=>2x^2-68x+480=0

=>2(x^2-34x+240)=0

=>x^2-34x+240=0

=>x^2-24x-10x+240=0

=>x(x-24)-10(x-24)=0

=>(x-24)(x-10)=0

x-24=0 x-10=0

=>x=24 =>x=10