Question
Solve the following quadratic equation:
$5 x^2+13 x+8=0$
$5 x^2+13 x+8=0$
✓
Answer
$5 x^2+13 x+8=0$
$\Rightarrow 5 x^2+5 x+8 x+8=0$
$\Rightarrow 5 x(x+1)+8(x+1)=0$
$\Rightarrow(x+1)(5 x+8)=0$
$\Rightarrow x+1=0 \text { or } 5 x+8=0$
$\Rightarrow x=-1 \text { or } x=\frac{-8}{5}$
$\Rightarrow 5 x^2+5 x+8 x+8=0$
$\Rightarrow 5 x(x+1)+8(x+1)=0$
$\Rightarrow(x+1)(5 x+8)=0$
$\Rightarrow x+1=0 \text { or } 5 x+8=0$
$\Rightarrow x=-1 \text { or } x=\frac{-8}{5}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Prove that if $x$ and $y$ are both odd positive integers then $x^2+y^2$ is even but not divisible by $4.$
→Determine whether the triangle having sides $(a - 1) cm, 2\sqrt{\text{a}}\text{ cm}$ and $(a + 1)\ cm$ is a right angled triangle.
→Find the sum of the following arithmetic series:
$7+10\frac{1}{2}+14+...+84$
→$7+10\frac{1}{2}+14+...+84$
Let $ABCD$ be a square of side $2a$. Find the coordinates of the vertices of this square when, The centre of the square is at the origin and coordinate axes are parallel to the sides $AB$ and $AD$ respectively.
→Using Euclid's algortihm, find the $HCF$ of:
$960$ and $1575$
→$960$ and $1575$
If $\cos\theta=0.6,$ show that $(5\sin\theta-3\tan\theta)=0.$
→Rasheed got a playing top (lattu) as his birthday present, which surprisingly had no colour on it. He wanted to colour it with his crayons. The top is shaped like a cone surmounted by a hemisphere. The entire top is 5 cm in height and the diameter of the top is $3.5 \ cm$. Find the area he has to colour. (Take $\pi = \frac {22}7$).
→Find the $HCF$ of the following pairs of integers and express it as a linear combination of them.
$592$ and $252$
→$592$ and $252$
Write the sum of first $n$ even natural numbers.
→If the mid-point of the line joining $(3, 4)$ and $(k, 7)$ is $(x, y)$ and $2x + 2y + 1 = 0$ find the value of $k.$
→