Question

Solve using quadratic formula X2+2x-35=0

Answer 1

Step-by-step explanation:

Given:

${x}^{2} + 2x - 35 = 0$

To find: Solution of quadratic equation using quadratic formula.

Solution:

Quadratic formula:

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

for standard quadratic equation given by

$a {x}^{2} + bx + c = 0$

Step 1: Write the value of a,b and c

Compare the given equation by standard equation

$a = 1 \\ b = 2 \\ c = - 35$

Step 2: Put these values in quadratic formula

$x_{1,2} = \frac{ - 2 ± \sqrt{4 - 4(1)( - 35)} }{2} \\ \\ x_{1,2} = \frac{ - 2 ± \sqrt{4 + 140} }{2} \\ \\ x_{1,2} = \frac{ - 2 ± \sqrt{144} }{2} \\ \\ x_{1,2} = \frac{ - 2 ± 12}{2}$

Step 3: Take (+) sign

$x_1 = \frac{ - 2 + 12}{2} \\ \\ x_1 = \frac{10}{2} \\ \\ x_1 = 5$

Step 4: Take (-) sign

$x_2 = \frac{ - 2 - 12}{2} \\ \\ x_2 = \frac{ - 14}{2} \\ \\ x_2 = - 7$

Final answer:

$\bold{\red{x = 5}} \\ \\ \bold{\green{x = - 7}}$

Hope it helps you.

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