Question

x²-3x-9 =0 solve this quadratic equation using formula ​

Answer 1

Step-by-step explanation:

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Answer 2

AnsWer :

• x = 3 + 3√5 /2.
• x = 3 - 3√5 /2.

SolutioN :

We have, Quadratic Equation.

→ x² - 3x - 9 = 0.

★ Compare with General Equation.

→ ax² + bx + c = 0.

Where as,

• a = 1.
• b = - 3.
• c = - 9.

x = -b ± √b² - 4ac /2a

→ x = 3 ± √( -3 )² - 4 * 1 * ( - 9 )/2 * 1

→ x = 3 ± √ 9 + 36 / 2.

→ x = 3 ± √ 45 / 2.

→ x = 3 ± 3√5 /2

→ x = 3( 1 ± √5 )/2.

Either,

x = 3 + 3√5 /2.

Or,

x = 3 - 3√5 /2.