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Solve the quadratic equation plz. x² - 46x + 168 = 0 |
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Answer» d Answer:-Given:x² - 46x + 168 = 0To Find:The roots of the given equation.Solution:We have, ➡ x² - 46x + 168 = 0We need to split -46 into two parts whose SUM is -46 and product is 168.We found, ➡ -42 - 4 = -46➡ (-42) × (-4) = 168So, ➡ x² - 42x - 4x + 168 = 0➡ x(x - 42) - 4(x - 42) = 0➡ (x - 4)(x - 42) = 0By ZERO product rule, ➡ Either (x - 4) = 0 or (x - 42) = 0➡ x = 4, 42★ Hence, the roots of the quadratic equation are 4 and 42.Answer:Roots are - 4 and 42.Learn More:Quadratic Equation: An equation having DEGREE (or highest power) 2 is called a quadratic equation. A Quadratic equation can have at most 2 solutions. |
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