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Mathematics

Grade10

Easy

Question

Find the solutions of the equation $x to the power of 2 end exponent plus 7 x plus 15 equals 0$ using quadratic formula.

1, - 1
2, - 1
0, 1
No Solution

hint Hint:

In this question, we have to find the solutions of the equation $x to the power of 2 end exponent plus 7 x plus 15 equals 0$ using the quadratic formula. the formula for $x equals fraction numerator negative b plus-or-minus square root of b to the power of 2 end exponent minus 4 a c end root over denominator 2 a end fraction$ . From the equation a= 1, b= 7 and c= 15. By substituting the given values in the formula, we can find the required solutions.

The correct answer is: No Solution

$x equals fraction numerator negative b plus-or-minus square root of b to the power of 2 end exponent minus 4 a c end root over denominator 2 a end fraction$
$equals fraction numerator negative open parentheses 7 close parentheses plus-or-minus square root of 7 to the power of 2 end exponent minus 4 blank cross times blank 1 blank cross times blank 15 end root over denominator 2 blank cross times blank 1 blank end fraction$
$equals fraction numerator 9 plus-or-minus square root of 49 minus 60 end root over denominator 2 end fraction$
$equals fraction numerator 9 plus-or-minus square root of negative 11 end root over denominator 2 end fraction$
There is no real solution.

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