Answer:
x = -7 ; x = 2
Step-by-step explanation:
Quadratic Equations
A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable.
Solution:
x² + 5x - 14 = 0
a = 1, b = 5, c = -14
x = -b ± √(b² - 4ac) / 2a
= -5 ± √(5)² - 4(1)(-14) / 2(1)
= -5 ± √25 - (-56) / 2
= -5 ± √25 + 56 / 2
= -5 ± √81 / 2
= -5 ± 9 / 2
= -14 / 2 or 4 / 2
= -7 or 2
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Answers & Comments
Answer:
x = -7 ; x = 2
Step-by-step explanation:
Quadratic Equations
A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable.
Solution:
x² + 5x - 14 = 0
a = 1, b = 5, c = -14
x = -b ± √(b² - 4ac) / 2a
= -5 ± √(5)² - 4(1)(-14) / 2(1)
= -5 ± √25 - (-56) / 2
= -5 ± √25 + 56 / 2
= -5 ± √81 / 2
= -5 ± 9 / 2
= -14 / 2 or 4 / 2
= -7 or 2