Question

x^2-(1+√3)x+√3=0 solve by using formula for quadratic equations​

Answer 1

x=✓3

how:

• x²-(1+✓3)X+✓3=0
• x²-x-(x✓3)+✓3=0
• x²-x✓3+✓3=X
• x²-✓3=✓3
• x²=✓3+✓3

SOBS

• x⁴=3+3
• x⁴=9
• x²=3
• x=✓3

✓3 is the solution for the given quadratic equation. hence proved

Answer 2

here is your ans:-

by quadratic formula:-

$- b + - \sqrt{ {b}^{2} - 4ac} \div 2$

so, for +ve:-

1+√3 + √ (1+√3)²-4×1×√3 / 2

= 1+ √3 + √ 4 + 2√3 /2 ans.