Question

*Solve the quadratic equation by using formula x^2 + 10 x + 2 = 0*
1️⃣ (-5 - √23 and -5 - √23 )
2️⃣ (5 + √23 and 5 - √23 )
3️⃣ (-5 + √23 and -5 + √23 )
4️⃣ (-5 + √23 and -5 - √23 )
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jaldi jaldi she answer dedo pleach ❤​

Answer 1

$x^{2} +10x +2=0\\=put value of a,banc in b+root b2-4ac/2a$

Answer 2

Step-by-step explanation:

Given:

${x}^{2} + 10x + 2 = 0$

To find:

1️⃣ (-5 - √23 and -5 - √23 )

2️⃣ (5 + √23 and 5 - √23 )

3️⃣ (-5 + √23 and -5 + √23 )

4️⃣ (-5 + √23 and -5 - √23 )

Solution:

Tip: Quadratic formula

If ax²+bx+c=0;a≠0 is a quadratic equation,then quadratic formula is given by

$\bold{\boxed{x _{1,2} = \frac{ - b ± \sqrt{ {b}^{2} - 4ac } }{2a} }}$

Step 1: Write values of a,b and c

On comparison with standard equation

a=1

b=10

c=2

Step 2: Apply the quadratic formula

$x _{1,2} = \frac{ - 10 ± \sqrt{ {(10)}^{2} - 4(1)(2) } }{2(1)}$

$x _{1,2} = \frac{ - 10 ± \sqrt{100-8 } }{2}$

$x _{1,2} = \frac{ - 10 ± \sqrt{92 } }{2}$

or

$x _{1,2} = \frac{ - 10 ± 2 \sqrt{23 } }{2}$

or

$x _{1,2} = - 5 ± \sqrt{23 }$

Step 3: Write two values of x

$x _{1} = - 5 + \sqrt{23 }$

$x _{2} = - 5 - \sqrt{23 }$

Final answer:

Option 4 is correct.

$\bold{\orange{x _{1} = - 5 + \sqrt{23 }}}$

$\bold{\orange{x _{2} = - 5 - \sqrt{23 } }}$

Hope it helps you.

To learn more on brainly:

Simplify:-

1.

$(3a + b)^{3} + {(3a - b)}^{3}$

2.

${(3x + 2)}^{3} + {(3x - 2)}^{3}$

Best answer will...

https://brainly.in/question/47811272